For all x E R, it is known that 1. 2. 3. )+co (-1)” n+1 n! f = xe-* = Etheo Find the value of ƒ 2022 (0). Find the exact value of no 3n (n+1) n! Use the 3rd degree Maclaurin polynomial of f(x) to approximate the value of -0.1e0.1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For all x E R, it is known that
1.
2.
3.
(−1)” n+1
f = xe-* = Etheo n!
Find the value of ƒ2022 (0) .
Find the exact value of t
-n=0
Use the 3rd degree Maclaurin polynomial of f(x)
to approximate the value of -0.1e⁰.1.
3n(n+1)
n!
Transcribed Image Text:For all x E R, it is known that 1. 2. 3. (−1)” n+1 f = xe-* = Etheo n! Find the value of ƒ2022 (0) . Find the exact value of t -n=0 Use the 3rd degree Maclaurin polynomial of f(x) to approximate the value of -0.1e⁰.1. 3n(n+1) n!
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