infinity summation of ln(n)/n n=2 I need to know if it converges or diverges and explain why. If someone could go though this step by step it would be a big help.
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Originally Posted by thatloserrsaid infinity summation of ln(n)/n n=2 I need to know if it converges or diverges and explain why. If someone could go though this step by step it would be a big help. use the integral test
the integral test confuses me.. thats why i requested a step by step help
Originally Posted by skeeter use the integral test the integral test confuses me.. thats why i requested a step by step help
Originally Posted by thatloserrsaid the integral test confuses me.. thats why i requested a step by step help $\displaystyle \int_2^{\infty} \frac{\ln{x}}{x} \, dx$ substitution ... let $\displaystyle u = \ln{x}$ give it a go.
Originally Posted by skeeter $\displaystyle \int_2^{\infty} \frac{\ln{x}}{x} \, dx$ substitution ... let $\displaystyle u = \ln{x}$ give it a go. after i integrate i get [ln(x)]^2 / 2
Originally Posted by thatloserrsaid infinity summation of ln(n)/n n=2 I need to know if it converges or diverges and explain why. If someone could go though this step by step it would be a big help. $\displaystyle \frac{ln(n)}{n}\geq\frac{1}{n}$ for $\displaystyle n\geq e$
please see attachment:
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