Expand the function +6x in a power series anx" with center c = 0. Find anx". n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of the form (-1)" in your answer.) anx" = Determine the interval of convergence. (Give your answers as intervals in the form (*, *). Use symbol ∞o for infinity, U for combining intervals, and appropriate type of parenthesis" (", ")", "[" or "]" depending on whether the interval is open or closed. Enter DNE if interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) XE

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.CR: Chapter Review
Problem 6CC
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∞
Expand the function in a power series Σ anx" with center c = 0. Find anx".
7+6x
n=0
(Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of
the form (-1)" in your answer.)
anxh
Determine the interval of convergence.
(Give your answers as intervals in the form (*, *). Use symbol ∞ for infinity, U for combining intervals, and appropriate type of
"1
parenthesis (",") ", "[" or "]" depending on whether the interval is open or closed. Enter DNE if interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
x E
=
Transcribed Image Text:∞ Expand the function in a power series Σ anx" with center c = 0. Find anx". 7+6x n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of the form (-1)" in your answer.) anxh Determine the interval of convergence. (Give your answers as intervals in the form (*, *). Use symbol ∞ for infinity, U for combining intervals, and appropriate type of "1 parenthesis (",") ", "[" or "]" depending on whether the interval is open or closed. Enter DNE if interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) x E =
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