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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 54SE: Write 0.65 as an infinite geometric series using summation notation. Then use the formula for...
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Question
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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