Question

Summation from n=2 to infinity of ln(n)/n^2 * x^n a.) Let x=-1, and compute the integral...

Summation from n=2 to infinity of ln(n)/n^2 * x^n

a.) Let x=-1, and compute the integral test to determine whether this it is convergent or divergent

b.) Compute the ratio test to determine the interval of convergence and explain what this interval represents.

I'm really confused with this problem (specifically a)- please write out all of the details of computing the integral so I can understand. Thank you!

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