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1 Let f(r) (a) Find first four terms of the Maclaurin series for f(x). (b) Use your result to find the Maclaurin series for f(r) (c) For the power series representation of f(x), f(r) = E Cnª", Let Pa(r) = E Cnæ", be the polynomial approxima- %3D n=0 n=0 tion of f(x) with k+1 terms [that is, Po has a single term, P, has two etc.]. Find, P1(r), P2(r), P3(x), Pa(x) for the function given. (d) Create a graph that shows f(x) P (r), P2(x), P3(x), Pa(r). Hint: Recommended graph window: [-2, 2] × [-2, 5].

1 Let f(r) (a) Find first four terms of the Maclaurin series for f(x). (b) Use your result to find the Maclaurin series for f(r) (c) For the power series representation of f(x), f(r) = E Cnª", Let Pa(r) = E Cnæ", be the polynomial approxima- %3D n=0 n=0 tion of f(x) with k+1 terms [that is, Po has a single term, P, has two etc.]. Find, P1(r), P2(r), P3(x), Pa(x) for the function given. (d) Create a graph that shows f(x) P (r), P2(x), P3(x), Pa(r). Hint: Recommended graph window: [-2, 2] × [-2, 5].

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Let f(r) = (a) Find first four terms of the Maclaurin series for f(r). (b) Use your result to find the Maclaurin series for f(x) k (c) For the power series representation of f(x), f(x) Cna", Let Pe(r) = Cn", be the polynomial approxima- n=0 tion of f(r) with k+1 terms [that is, Po has a single term, P has two etc.]. Find, P1(1), P2(x), P3(x), P4(x) for the function given. 1 (d) Create a graph that shows f(r) P(r), P2(x), P3(x), Pa(r). Hint: Recommended graph window: [-2, 2] x [-2, 5].
Transcribed Image Text:Let f(r) = (a) Find first four terms of the Maclaurin series for f(r). (b) Use your result to find the Maclaurin series for f(x) k (c) For the power series representation of f(x), f(x) Cna", Let Pe(r) = Cn", be the polynomial approxima- n=0 tion of f(r) with k+1 terms [that is, Po has a single term, P has two etc.]. Find, P1(1), P2(x), P3(x), P4(x) for the function given. 1 (d) Create a graph that shows f(r) P(r), P2(x), P3(x), Pa(r). Hint: Recommended graph window: [-2, 2] x [-2, 5].
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