How to prove or disaprove uniform convergence of this series: $ sum fracsin(nx)sqrtn+x $

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How to prove or disaprove uniform convergence of this series:
$$ sum fracsin(nx)sqrtn+x $$

on the following sets:

$ X = (0;pi)$ and $ X = (fracpi10;frac9pi10)$




calculus uniform-convergence




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  • For the second interval you can use method of partial summation to prove uniform convergence.
    – Kavi Rama Murthy
    Aug 2 at 9:41










  • Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
    – José Carlos Santos
    Aug 2 at 9:45














up vote
0
down vote

favorite












How to prove or disaprove uniform convergence of this series:
$$ sum fracsin(nx)sqrtn+x $$

on the following sets:

$ X = (0;pi)$ and $ X = (fracpi10;frac9pi10)$




calculus uniform-convergence




share|cite|improve this question





















  • For the second interval you can use method of partial summation to prove uniform convergence.
    – Kavi Rama Murthy
    Aug 2 at 9:41










  • Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
    – José Carlos Santos
    Aug 2 at 9:45












up vote
0
down vote

favorite









up vote
0
down vote

favorite











How to prove or disaprove uniform convergence of this series:
$$ sum fracsin(nx)sqrtn+x $$

on the following sets:

$ X = (0;pi)$ and $ X = (fracpi10;frac9pi10)$




calculus uniform-convergence




share|cite|improve this question













How to prove or disaprove uniform convergence of this series:
$$ sum fracsin(nx)sqrtn+x $$

on the following sets:

$ X = (0;pi)$ and $ X = (fracpi10;frac9pi10)$





calculus uniform-convergence





share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited Aug 2 at 9:48









Julián Aguirre

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asked Aug 2 at 9:31









Joe Wallace

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  • For the second interval you can use method of partial summation to prove uniform convergence.
    – Kavi Rama Murthy
    Aug 2 at 9:41










  • Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
    – José Carlos Santos
    Aug 2 at 9:45
















  • For the second interval you can use method of partial summation to prove uniform convergence.
    – Kavi Rama Murthy
    Aug 2 at 9:41










  • Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
    – José Carlos Santos
    Aug 2 at 9:45















For the second interval you can use method of partial summation to prove uniform convergence.
– Kavi Rama Murthy
Aug 2 at 9:41




For the second interval you can use method of partial summation to prove uniform convergence.
– Kavi Rama Murthy
Aug 2 at 9:41












Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
– José Carlos Santos
Aug 2 at 9:45




Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
– José Carlos Santos
Aug 2 at 9:45















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