which of the followig statement are true ? $1.$. $a(n) > c(n)$ for all sufficiently large n $2.$ $b(n) > c(n)$ for all sufficiently large n

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given that $ a(n) = frac110^100$ $2^n$



$ b(n) = 10^100 log(n)$



$c(n) =frac110^10n^2 $



which of the followig statement are true ?



$1.$. $a(n) > c(n)$ for all sufficiently large n



$2.$ $b(n) > c(n)$ for all sufficiently large n



$3.$ $b(n) > n$ for all sufficiently large n



$4.$ $a(n) > b(n)$ for all sufficiently large n



my answer : i know that $2^n > n^2$ so option 1 is correct



option 2 is not correct because $log (n) < n^2 $



option 3 is also false as $log n < n $



option 4) is true as $2^n >log n$



so the correct answer are option 1 and 4



is my answer is correct or not ? pliz tell me



if not correct then,pliz provide any hints/solution



thanks in advance




algebra-precalculus




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  • 2




    Yes, it's correct!
    – Parcly Taxel
    Jul 16 at 5:47










  • thanks u parcly
    – Messi fifa
    Jul 16 at 5:53














up vote
0
down vote

favorite












given that $ a(n) = frac110^100$ $2^n$



$ b(n) = 10^100 log(n)$



$c(n) =frac110^10n^2 $



which of the followig statement are true ?



$1.$. $a(n) > c(n)$ for all sufficiently large n



$2.$ $b(n) > c(n)$ for all sufficiently large n



$3.$ $b(n) > n$ for all sufficiently large n



$4.$ $a(n) > b(n)$ for all sufficiently large n



my answer : i know that $2^n > n^2$ so option 1 is correct



option 2 is not correct because $log (n) < n^2 $



option 3 is also false as $log n < n $



option 4) is true as $2^n >log n$



so the correct answer are option 1 and 4



is my answer is correct or not ? pliz tell me



if not correct then,pliz provide any hints/solution



thanks in advance




algebra-precalculus




share|cite|improve this question

















  • 2




    Yes, it's correct!
    – Parcly Taxel
    Jul 16 at 5:47










  • thanks u parcly
    – Messi fifa
    Jul 16 at 5:53












up vote
0
down vote

favorite









up vote
0
down vote

favorite











given that $ a(n) = frac110^100$ $2^n$



$ b(n) = 10^100 log(n)$



$c(n) =frac110^10n^2 $



which of the followig statement are true ?



$1.$. $a(n) > c(n)$ for all sufficiently large n



$2.$ $b(n) > c(n)$ for all sufficiently large n



$3.$ $b(n) > n$ for all sufficiently large n



$4.$ $a(n) > b(n)$ for all sufficiently large n



my answer : i know that $2^n > n^2$ so option 1 is correct



option 2 is not correct because $log (n) < n^2 $



option 3 is also false as $log n < n $



option 4) is true as $2^n >log n$



so the correct answer are option 1 and 4



is my answer is correct or not ? pliz tell me



if not correct then,pliz provide any hints/solution



thanks in advance




algebra-precalculus




share|cite|improve this question













given that $ a(n) = frac110^100$ $2^n$



$ b(n) = 10^100 log(n)$



$c(n) =frac110^10n^2 $



which of the followig statement are true ?



$1.$. $a(n) > c(n)$ for all sufficiently large n



$2.$ $b(n) > c(n)$ for all sufficiently large n



$3.$ $b(n) > n$ for all sufficiently large n



$4.$ $a(n) > b(n)$ for all sufficiently large n



my answer : i know that $2^n > n^2$ so option 1 is correct



option 2 is not correct because $log (n) < n^2 $



option 3 is also false as $log n < n $



option 4) is true as $2^n >log n$



so the correct answer are option 1 and 4



is my answer is correct or not ? pliz tell me



if not correct then,pliz provide any hints/solution



thanks in advance





algebra-precalculus





share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited Jul 16 at 7:12









Gerry Myerson

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asked Jul 16 at 5:37









Messi fifa

1718




1718







  • 2




    Yes, it's correct!
    – Parcly Taxel
    Jul 16 at 5:47










  • thanks u parcly
    – Messi fifa
    Jul 16 at 5:53












  • 2




    Yes, it's correct!
    – Parcly Taxel
    Jul 16 at 5:47










  • thanks u parcly
    – Messi fifa
    Jul 16 at 5:53







2




2




Yes, it's correct!
– Parcly Taxel
Jul 16 at 5:47




Yes, it's correct!
– Parcly Taxel
Jul 16 at 5:47












thanks u parcly
– Messi fifa
Jul 16 at 5:53




thanks u parcly
– Messi fifa
Jul 16 at 5:53















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