Question

I NEED HELP WITH SERIES PROBLEM!

\[\sum_{n=1}^{\infty} \frac{ (-1)^\left( n+1 \right) }{ 2^n+n }\]

(a) estimate the series by evaluating \[S_2\]
i put n=1,2 so S_2
\[\frac{ 1 }{ 3 }-\frac{ 1 }{ 5 }=\frac{ 2 }{ 15 }=S_2\] (is this correct?)

(b) determine the error bound for
\[\left| S_3-\sum_{n=1}^{\infty} \frac{ (-1)^\left( n \right) }{ 2^n+n } \right|\]

Answer 1

hi

Answer 2

the first part I agree with, the second part I forgot how to do:)

Answer 3

problem is (b) part.........