CORE

$i7$

Alternating Series Error Bound Practice

Name: $q,$

Find the error of the partial sum of the first $5$ terms of the following series.

${\displaystyle \underset{n=0}{\overset{}{}}}\frac{(-1{)}^n}{(n1)!}$

Find the error of the partial sum of the first $35$ terms of the following series.

${\displaystyle \underset{n=0}{\overset{}{}}}\frac{(-1{)}^n}{2n1}$

Find the error of the partial sum of the first $8$ terms of the following series.

${\displaystyle \underset{n=1}{\overset{}{}}}\frac{(-1{)}^{n1}}{n^2}$

Find the error of the partial sum of the first $4$ terms of the following series.

${\displaystyle \underset{k=1}{\overset{}{}}}(-1{)}^k\frac{1}{2k1}(\frac{1}{3}{)}^{2k1}$