Question

i need help with series problem. attachment

Answer 1

wait hold on please.

Answer 2

\[\sum_{n=1}^{\infty} \frac{ (-1)^\left( n+1 \right) }{ 2^n+n }\]
(a) estimate the series by evaluating S_2
i put n=1,2 so S_2 \[\frac{ 1 }{ 3 }-\frac{ 1 }{ 5 }=\frac{ 2 }{ 15 }=S_2\]
(b) determine the error bound for \[\left| S_3-\sum_{n=1}^{\infty} \frac{ (-1)^n }{ 2^n+n } \right|\]

Answer 3

hi can you see what i posted up?

Answer 4

(problem)*

Answer 5

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

(a) estimate the series by evaluating \[S_2\]
i put n=1,2 so S_2
1/3−1/5=2/15=S2 (is this correct?)

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