For all x ER, it is known that 1. Find the value of f(2022) (0). 2. Find the exact value of f(2)=xe +∞ 3" (n+1) n! -I +∞ Σ n! n=0 = (−1)”.pn+1 n=0 3. Use the 3rd degree Maclaurin polynomial of f(x) to approximate the value of −0.1e⁰.¹.

For all x ER, it is known that 1. Find the value of f(2022) (0). 2. Find the exact value of f(2)=xe +∞ 3" (n+1) n! -I +∞ Σ n! n=0 = (−1)”.pn+1 n=0 3. Use the 3rd degree Maclaurin polynomial of f(x) to approximate the value of −0.1e⁰.¹.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra

Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...

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Question

Please justify your answers and be clear/ detailed as much as possible with your solutions. Thank you!

For all x R, it is known that
1. Find the value of f(2022) (0).
2. Find the exact value of
f(2)=xe
+∞ 3" (n+1)
n!
-I
+∞
Σ n!
n=0
=
(−1)”.pn+1
n=0
3. Use the 3rd degree Maclaurin polynomial of f(x) to approximate the value of −0.1e⁰.¹.

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