Find all x for which the power series converges. (k!)? (2k)! (* - 6)* k=0 (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use symbol co for infinity, U for combining intervals, and appropriate type of parenthesis "(", ")", "[", or "]" depending on whether the interval is open or closed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Find all x for which the power series converges.
(k!)?
(x- 6)*
(2k)!
k=0
(Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use symbol co for
infinity, U for combining intervals, and appropriate type of parenthesis "(", ")", "[", or "]" depending on whether the interval is
open or closed.)
x E
Transcribed Image Text:Find all x for which the power series converges. (k!)? (x- 6)* (2k)! k=0 (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use symbol co for infinity, U for combining intervals, and appropriate type of parenthesis "(", ")", "[", or "]" depending on whether the interval is open or closed.) x E
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