Lipossig

2021-02-15

How do you do the Alternating Series Test on this series and what is the result?

$\sum _{n=2}^{\mathrm{\infty}}\frac{(-1{)}^{n}}{n+1}$

2k1enyvp

Skilled2021-02-16Added 94 answers

Alternating series:

A series of the form

where either all

The alternating series test then says: if

Moreover, let L denote the sum of the series, then the partial sum

approximates L with error bounded by the next omitted term:

Therefore

So

So the series converges.

Jeffrey Jordon

Expert2021-12-27Added 2575 answers

Answer is given below (on video)