Find the interval of convergence for the power series $$\(\sum_{n=3}^{\infty} \frac{x^{2 n}}{(\ln n)^{n}}\)$$.

A.
\( x=0 \)
B.
\(x \in[-1,1)\)
C.
\(x \in(-\infty, \infty)\)
D.
\(x \in(-\sqrt{e}, \sqrt{e})\)
Calculus
AP
College Board
Exam No:669ce8814409a2411a5d8211 Year:2024 Question No:26

Answer:

C

Knowledge points:

10.13 Radius and Interval of Convergence of Power Series
10.15 Representing Functions as Power Series

Solution:

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