Expand the function 5+6x in a power series E anx" with center c = 0. Find a, x". 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.) An x" Determine the interval of convergence. (Give your answers as intervals 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. Enter DNE if interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)

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 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Question
Expand the function
in a power series E azx? with center c = 0. Find az x".
5+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.)
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
11
numbers in exact form. Use symbolic notation and fractions where needed.)
Transcribed Image Text:Expand the function in a power series E azx? with center c = 0. Find az x". 5+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.) 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 11 numbers in exact form. Use symbolic notation and fractions where needed.)
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