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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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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.
Transcribed Image Text: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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