For what values of $$\(x\)$$ is the series $$\(\sum_{n=1}^{\infty} \frac{x^{n}}{n 2^{n}}\)$$ convergent?
A.
\(x \in[-1,1)\)
B.
\(x \in[-2,2)\)
C.
\(x \in(-\infty, \infty)\)
D.
\(x \in(-2,2)\)
Exam No：669ce8814409a2411a5d8211 Year：2024 Question No：24
Answer:
B
Knowledge points:
10.13 Radius and Interval of Convergence of Power Series
10.15 Representing Functions as Power Series
Solution:
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