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

question 68

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

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