# 2. (a) Find all p ?: 0 such that the following series converges. 00 1 L k...

## Question:

2.

**(a)** Find all p ?: 0 such that the following series converges.

00 1 L k logP(k + 1)

k=l

**(b)** For each such p, prove that the partial sums of this series Sn and its value S satisfy n+ p -1( 1 )

Is - snl:S n(p _ 1) logP-l(n)

for all n ?: 2.

Fantastic news! We've Found the answer you've been seeking!

## Step by Step Answer:

**Related Book For**