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Mathematics 10 Online
OpenStudy (anonymous):

Series

OpenStudy (anonymous):

\[\sum_{n=2}^{\infty}\frac{ 1 }{ 1+(-1)^n+\ln(n)}\] Find the nature of this series using comparison test

OpenStudy (dan815):

do u know what the comparison test is

OpenStudy (anonymous):

kidding @dan815..?

ganeshie8 (ganeshie8):

to be safer, for all n >= 2 : \[\dfrac{1}{1+(-1)^n + \ln (n)}\gt \dfrac{1}{ 3+\ln (n)} \gt \dfrac{1}{\ln (100n)} \gt \dfrac{1/1000}{n} \]

OpenStudy (anonymous):

|dw:1417521209500:dw|

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