Find the interval of convergence of (x - 2)" In (5n) n=2 (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate type of parenthesis " (",") ", " [" or "]" depending on whether the interval is open or closed.) XE

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the interval of convergence of

\[
\sum_{n=2}^{\infty} \frac{(x - 2)^n}{\ln(5n)}
\]

(Use symbolic notation and fractions where needed. Give your answers as intervals in the form (∗, ∗). Use the symbol ∞ for infinity, ∪ for combining intervals, and an appropriate type of parenthesis "(, )", "[" or "]" depending on whether the interval is open or closed.)

\[
x \in \boxed{\phantom{solution}}
\]
Transcribed Image Text:Find the interval of convergence of \[ \sum_{n=2}^{\infty} \frac{(x - 2)^n}{\ln(5n)} \] (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (∗, ∗). Use the symbol ∞ for infinity, ∪ for combining intervals, and an appropriate type of parenthesis "(, )", "[" or "]" depending on whether the interval is open or closed.) \[ x \in \boxed{\phantom{solution}} \]
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