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Expand the function , in a power series anx" with center c = 0. Find a„x". 8+7x %3D n=0

Expand the function , in a power series anx" with center c = 0. Find a„x". 8+7x %3D n=0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Expand the function in a power series anx" with center c = 0. Find a,x". 8+7x 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 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 11 numbers in exact form. Use symbolic notation and fractions where needed.)
Transcribed Image Text:Expand the function in a power series anx" with center c = 0. Find a,x". 8+7x 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 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 11 numbers in exact form. Use symbolic notation and fractions where needed.)
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