Determine the convergence or divergence of the series. $\sum_{n=1}^{\infty} \frac{n+1}{2 n-1}$

Infinite Series

Series and Convergence

Name: Problem 45, Chapter 9: Calculus Early Transcendental Functions
Uploaded: 2021-07-25T04:28:12-08:00
Duration: 1 min 22 s
Channel: Adrian Co
Description: Determine the convergence or divergence of the series. ∑n=1^∞((1)/(n)-(1)/(n+2))

Question

Determine the convergence or divergence of the series. ∑n=1^∞((1)/(n)-(1)/(n+2))

Adrian Co · Accepted Answer

step 1 To solve this, we're going to be using the telescoping sum method here. And so we're going to do

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