Expand the function in a power series E a,x" with center c = 0. Find a„x". 9+8x 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" %3D 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.) x E

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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1
Expand the function
in a power series E a,x" with center c = 0. Find a,„x".
9+8x
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 ∞ 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.)
x E
Transcribed Image Text:1 Expand the function in a power series E a,x" with center c = 0. Find a,„x". 9+8x 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 ∞ 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.) x E
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