x3(a) (7 points) Find the Taylor series generated by f(x)at a = 0. Write your3 + 2.xanswer using E notation.f(m) (a)f" (a)(x - a)" = f(a) + f'(a)(x – a) +(х — а)* +...2!Recall Taylor series:n-n!n=0x3? Justify your(b) (4 points) Where does the series you found in part (a) converge to3+ 2.xwork.

Given function is f(x)=x33+2x (a) Find Taylor Series at a=0 (b) Radius of convergence

Answered: Taylor series generated by f(x) at a =…

Math

Calculus

Taylor series generated by f(x) at a = 0. 3+ 2x

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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Question

x3
(a) (7 points) Find the Taylor series generated by f(x)
at a = 0. Write your
3 + 2.x
answer using E notation.
f(m) (a)
f" (a)
(x - a)" = f(a) + f'(a)(x – a) +
(х — а)* +...
2!
Recall Taylor series:
n
-
n!
n=0
x3
? Justify your
(b) (4 points) Where does the series you found in part (a) converge to
3+ 2.x
work.

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