Question

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}{3} ight)^{n}=frac{1}{3}-frac{1}{18}+frac{1}{81}-frac{1}{324}+cdots ] Answer: Note: You cannot write a decimal number for the answer. Hint: What power series is equal to this sum?

          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}{3}
ight)^{n}=frac{1}{3}-frac{1}{18}+frac{1}{81}-frac{1}{324}+cdots
]
Answer:
Note: You cannot write a decimal number for the answer.
Hint: What power series is equal to this sum?

$Find the sum of the following series. If it is divergent, type "Diverges" or "D". [ -sumn=1^infty frac1nleft(-frac13 ight)^n=frac13-frac118+frac181-frac1324+cdots ] Answer: Note: You cannot write a decimal number for the answer. Hint: What power series is equal to this sum?$