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Consider the Taylor polynomial T,(x) centered at x = 20 for all n for the function f(x) = , where i is the index of summation. Find the ith term of T,(x). (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.) ith term of T,(x): (-1)*+1 (i+1) (x– 20) 19i +2

Consider the Taylor polynomial T,(x) centered at x = 20 for all n for the function f(x) = , where i is the index of summation. Find the ith term of T,(x). (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.) ith term of T,(x): (-1)*+1 (i+1) (x– 20) 19i +2

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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Consider the Taylor polynomial T,(x) centered at x = 20 for all n for the function f(x) = , where i is the index of x-1 summation. Find the ith term of T,(x). (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.) (-1)i+1(i+1) (x – 20) ith term of T,(x): 19i +2
Transcribed Image Text:Consider the Taylor polynomial T,(x) centered at x = 20 for all n for the function f(x) = , where i is the index of x-1 summation. Find the ith term of T,(x). (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.) (-1)i+1(i+1) (x – 20) ith term of T,(x): 19i +2
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