Find the interval of convergence for the power series $$\(\sum_{n=1}^{\infty} n^{n} x^{2 n}\)$$.

A.
\(x=0\)
B.
\(x \in(-\sqrt{2}, \sqrt{2})\)
C.
\(x \in(-2,2)\)
D.
\(x \in(-\infty, \infty)\)
Calculus
AP
College Board
Exam No:AP Calculus Unit 10 Questions Set 2 Year:2024 Question No:30

Answer:

A

Knowledge points:

10.13 Radius and Interval of Convergence of Power Series
10.8 Ratio Test for Convergence

Solution:

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