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Final Exam: Problem 2 (4 points) Find the sum of the following series. If it is divergent, type "Diverges" or "D". [ -sum_{n=1}^{infty} frac{1}{n}left(-frac{1}{2} ight)^{n}=frac{1}{2}-frac{1}{8}+frac{1}{24}-frac{1}{64}+cdots ] Answer: Note: You cannot write a decimal number for the answer. Hint: What power series is equal to this sum?

          Final Exam: Problem 2
(4 points)
Find the sum of the following series. If it is divergent, type "Diverges" or "D".
[
-sum_{n=1}^{infty} frac{1}{n}left(-frac{1}{2}
ight)^{n}=frac{1}{2}-frac{1}{8}+frac{1}{24}-frac{1}{64}+cdots
]
Answer:
Note: You cannot write a decimal number for the answer.
Hint: What power series is equal to this sum?

$Final Exam: Problem 2 (4 points) Find the sum of the following series. If it is divergent, type "Diverges" or "D". [ -sumn=1^infty frac1nleft(-frac12 ight)^n=frac12-frac18+frac124-frac164+cdots ] Answer: Note: You cannot write a decimal number for the answer. Hint: What power series is equal to this sum?$

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