The radius of convergence of the series $$\(\sum_{n=1}^{\infty} \frac{x^{n}}{2^{n}} \cdot \frac{n^{n}}{n!}\)$$ is
A.
2
B.
\(\frac{2}{e}\)
C.
\(\frac{e}{2}\)
D.
\(\infty\)
Exam No：AP Calculus Unit 10 Questions Set Year：2024 Question No：33
Answer:
B
Knowledge points:
10.13 Radius and Interval of Convergence of Power Series
10.8 Ratio Test for Convergence
Solution:
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