I want to check for the convergence/divergence of cos(n^10)/n^(1/2) [on hold]

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put on hold as unclear what you're asking by Glorfindel, Arnaud Mortier, Claude Leibovici, Martin Sleziak, eyeballfrog Aug 3 at 13:06


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.














  • Here are some tips to ask a "good" question by the standards of the site: math.meta.stackexchange.com/questions/9959/…
    – Arnaud Mortier
    Aug 3 at 13:04






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    Please: 1. type your question here, do not rely on pdfs or images. 2. use English, as not many of the people here know Greek. 3. show what you have done
    – Federico
    Aug 3 at 13:11










  • See MathJax basic tutorial and quick reference
    – Sou
    Aug 3 at 13:24














up vote
-3
down vote

favorite












enter image description here



there is a photo of the problem




calculus




share|cite|improve this question













put on hold as unclear what you're asking by Glorfindel, Arnaud Mortier, Claude Leibovici, Martin Sleziak, eyeballfrog Aug 3 at 13:06


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.














  • Here are some tips to ask a "good" question by the standards of the site: math.meta.stackexchange.com/questions/9959/…
    – Arnaud Mortier
    Aug 3 at 13:04






  • 1




    Please: 1. type your question here, do not rely on pdfs or images. 2. use English, as not many of the people here know Greek. 3. show what you have done
    – Federico
    Aug 3 at 13:11










  • See MathJax basic tutorial and quick reference
    – Sou
    Aug 3 at 13:24












up vote
-3
down vote

favorite









up vote
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down vote

favorite











enter image description here



there is a photo of the problem




calculus




share|cite|improve this question













enter image description here



there is a photo of the problem





calculus





share|cite|improve this question












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edited Aug 3 at 14:00









quid♦

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asked Aug 3 at 13:01









Androniki Fiot

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put on hold as unclear what you're asking by Glorfindel, Arnaud Mortier, Claude Leibovici, Martin Sleziak, eyeballfrog Aug 3 at 13:06


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.






put on hold as unclear what you're asking by Glorfindel, Arnaud Mortier, Claude Leibovici, Martin Sleziak, eyeballfrog Aug 3 at 13:06


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.













  • Here are some tips to ask a "good" question by the standards of the site: math.meta.stackexchange.com/questions/9959/…
    – Arnaud Mortier
    Aug 3 at 13:04






  • 1




    Please: 1. type your question here, do not rely on pdfs or images. 2. use English, as not many of the people here know Greek. 3. show what you have done
    – Federico
    Aug 3 at 13:11










  • See MathJax basic tutorial and quick reference
    – Sou
    Aug 3 at 13:24
















  • Here are some tips to ask a "good" question by the standards of the site: math.meta.stackexchange.com/questions/9959/…
    – Arnaud Mortier
    Aug 3 at 13:04






  • 1




    Please: 1. type your question here, do not rely on pdfs or images. 2. use English, as not many of the people here know Greek. 3. show what you have done
    – Federico
    Aug 3 at 13:11










  • See MathJax basic tutorial and quick reference
    – Sou
    Aug 3 at 13:24















Here are some tips to ask a "good" question by the standards of the site: math.meta.stackexchange.com/questions/9959/…
– Arnaud Mortier
Aug 3 at 13:04




Here are some tips to ask a "good" question by the standards of the site: math.meta.stackexchange.com/questions/9959/…
– Arnaud Mortier
Aug 3 at 13:04




1




1




Please: 1. type your question here, do not rely on pdfs or images. 2. use English, as not many of the people here know Greek. 3. show what you have done
– Federico
Aug 3 at 13:11




Please: 1. type your question here, do not rely on pdfs or images. 2. use English, as not many of the people here know Greek. 3. show what you have done
– Federico
Aug 3 at 13:11












See MathJax basic tutorial and quick reference
– Sou
Aug 3 at 13:24




See MathJax basic tutorial and quick reference
– Sou
Aug 3 at 13:24










1 Answer
1






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0
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$$lim_nrightarrow+inftyfraccos n^10sqrtn=0.$$
Thus, the sequence is convergence.



Because $|cos n^10|<1$ and $limlimits_nrightarrow+inftyfrac1sqrtn=0$.






share|cite|improve this answer























  • Why down voted?
    – Michael Rozenberg
    Aug 3 at 13:06










  • You don't know whether the OP is asking about a sequence or a series. Assuming the former, if the OP asks, it means that it's not obvious to them so some details would be necessary.
    – Arnaud Mortier
    Aug 3 at 13:06










  • @Arnaud Mortier I know! See better the question. I added something. See now.
    – Michael Rozenberg
    Aug 3 at 13:07











  • I just explained it to you. The answer that you give is mathematically correct, but it isn't an appropriate answer imho. Plus, the question is really poorly formatted as of writing this, and I don't think such questions should receive answers, rather hints to help the OP ask a better question and at least try answering a little bit themselves.
    – Arnaud Mortier
    Aug 3 at 13:14










  • @Arnaud Mortier But it does not say that you need to down vote. It's very bad I think.
    – Michael Rozenberg
    Aug 3 at 13:18

















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
0
down vote













$$lim_nrightarrow+inftyfraccos n^10sqrtn=0.$$
Thus, the sequence is convergence.



Because $|cos n^10|<1$ and $limlimits_nrightarrow+inftyfrac1sqrtn=0$.






share|cite|improve this answer























  • Why down voted?
    – Michael Rozenberg
    Aug 3 at 13:06










  • You don't know whether the OP is asking about a sequence or a series. Assuming the former, if the OP asks, it means that it's not obvious to them so some details would be necessary.
    – Arnaud Mortier
    Aug 3 at 13:06










  • @Arnaud Mortier I know! See better the question. I added something. See now.
    – Michael Rozenberg
    Aug 3 at 13:07











  • I just explained it to you. The answer that you give is mathematically correct, but it isn't an appropriate answer imho. Plus, the question is really poorly formatted as of writing this, and I don't think such questions should receive answers, rather hints to help the OP ask a better question and at least try answering a little bit themselves.
    – Arnaud Mortier
    Aug 3 at 13:14










  • @Arnaud Mortier But it does not say that you need to down vote. It's very bad I think.
    – Michael Rozenberg
    Aug 3 at 13:18














up vote
0
down vote













$$lim_nrightarrow+inftyfraccos n^10sqrtn=0.$$
Thus, the sequence is convergence.



Because $|cos n^10|<1$ and $limlimits_nrightarrow+inftyfrac1sqrtn=0$.






share|cite|improve this answer























  • Why down voted?
    – Michael Rozenberg
    Aug 3 at 13:06










  • You don't know whether the OP is asking about a sequence or a series. Assuming the former, if the OP asks, it means that it's not obvious to them so some details would be necessary.
    – Arnaud Mortier
    Aug 3 at 13:06










  • @Arnaud Mortier I know! See better the question. I added something. See now.
    – Michael Rozenberg
    Aug 3 at 13:07











  • I just explained it to you. The answer that you give is mathematically correct, but it isn't an appropriate answer imho. Plus, the question is really poorly formatted as of writing this, and I don't think such questions should receive answers, rather hints to help the OP ask a better question and at least try answering a little bit themselves.
    – Arnaud Mortier
    Aug 3 at 13:14










  • @Arnaud Mortier But it does not say that you need to down vote. It's very bad I think.
    – Michael Rozenberg
    Aug 3 at 13:18












up vote
0
down vote










up vote
0
down vote









$$lim_nrightarrow+inftyfraccos n^10sqrtn=0.$$
Thus, the sequence is convergence.



Because $|cos n^10|<1$ and $limlimits_nrightarrow+inftyfrac1sqrtn=0$.






share|cite|improve this answer















$$lim_nrightarrow+inftyfraccos n^10sqrtn=0.$$
Thus, the sequence is convergence.



Because $|cos n^10|<1$ and $limlimits_nrightarrow+inftyfrac1sqrtn=0$.







share|cite|improve this answer















share|cite|improve this answer



share|cite|improve this answer








edited Aug 3 at 13:11


























answered Aug 3 at 13:03









Michael Rozenberg

87k1576178




87k1576178











  • Why down voted?
    – Michael Rozenberg
    Aug 3 at 13:06










  • You don't know whether the OP is asking about a sequence or a series. Assuming the former, if the OP asks, it means that it's not obvious to them so some details would be necessary.
    – Arnaud Mortier
    Aug 3 at 13:06










  • @Arnaud Mortier I know! See better the question. I added something. See now.
    – Michael Rozenberg
    Aug 3 at 13:07











  • I just explained it to you. The answer that you give is mathematically correct, but it isn't an appropriate answer imho. Plus, the question is really poorly formatted as of writing this, and I don't think such questions should receive answers, rather hints to help the OP ask a better question and at least try answering a little bit themselves.
    – Arnaud Mortier
    Aug 3 at 13:14










  • @Arnaud Mortier But it does not say that you need to down vote. It's very bad I think.
    – Michael Rozenberg
    Aug 3 at 13:18
















  • Why down voted?
    – Michael Rozenberg
    Aug 3 at 13:06










  • You don't know whether the OP is asking about a sequence or a series. Assuming the former, if the OP asks, it means that it's not obvious to them so some details would be necessary.
    – Arnaud Mortier
    Aug 3 at 13:06










  • @Arnaud Mortier I know! See better the question. I added something. See now.
    – Michael Rozenberg
    Aug 3 at 13:07











  • I just explained it to you. The answer that you give is mathematically correct, but it isn't an appropriate answer imho. Plus, the question is really poorly formatted as of writing this, and I don't think such questions should receive answers, rather hints to help the OP ask a better question and at least try answering a little bit themselves.
    – Arnaud Mortier
    Aug 3 at 13:14










  • @Arnaud Mortier But it does not say that you need to down vote. It's very bad I think.
    – Michael Rozenberg
    Aug 3 at 13:18















Why down voted?
– Michael Rozenberg
Aug 3 at 13:06




Why down voted?
– Michael Rozenberg
Aug 3 at 13:06












You don't know whether the OP is asking about a sequence or a series. Assuming the former, if the OP asks, it means that it's not obvious to them so some details would be necessary.
– Arnaud Mortier
Aug 3 at 13:06




You don't know whether the OP is asking about a sequence or a series. Assuming the former, if the OP asks, it means that it's not obvious to them so some details would be necessary.
– Arnaud Mortier
Aug 3 at 13:06












@Arnaud Mortier I know! See better the question. I added something. See now.
– Michael Rozenberg
Aug 3 at 13:07





@Arnaud Mortier I know! See better the question. I added something. See now.
– Michael Rozenberg
Aug 3 at 13:07













I just explained it to you. The answer that you give is mathematically correct, but it isn't an appropriate answer imho. Plus, the question is really poorly formatted as of writing this, and I don't think such questions should receive answers, rather hints to help the OP ask a better question and at least try answering a little bit themselves.
– Arnaud Mortier
Aug 3 at 13:14




I just explained it to you. The answer that you give is mathematically correct, but it isn't an appropriate answer imho. Plus, the question is really poorly formatted as of writing this, and I don't think such questions should receive answers, rather hints to help the OP ask a better question and at least try answering a little bit themselves.
– Arnaud Mortier
Aug 3 at 13:14












@Arnaud Mortier But it does not say that you need to down vote. It's very bad I think.
– Michael Rozenberg
Aug 3 at 13:18




@Arnaud Mortier But it does not say that you need to down vote. It's very bad I think.
– Michael Rozenberg
Aug 3 at 13:18


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