Estimate the Error in Approximating the Sum of the Alternating $S=\sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{1+2^{n}}$

Multiple Choice

Estimate the error in approximating the sum of the alternating series $S=\sum_{n=1}^{\infty} \frac{(-1) ^{n-1}}{1+2^{n}}$ by the sum of the first 11 terms.

A) 0.000024
B) 0.00024
C) 0.0024
D) 0.024