Let f(x) = x e×. a) Find f(m)(x) : the nth derivative of f (x). b) Find the nth Taylor polynomial P(x) for the function f (x) about x, 1 and the remainder term R,(x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let
f(x) = x e7*
a) Find f(m)(x) : the nth derivative of f(x).
b) Find the nth Taylor polynomial P (x) for
the function f (x) about x, = 1
and the remainder term R,(x).
Transcribed Image Text:Let f(x) = x e7* a) Find f(m)(x) : the nth derivative of f(x). b) Find the nth Taylor polynomial P (x) for the function f (x) about x, = 1 and the remainder term R,(x).
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