Let f(x) = loge (3 + x) a) Find f n)(x) ; the nth derivative of f(x) b) Using Taylor's theorem, for any i in N and for all x > - 2 show that
Let f(x) = loge (3 + x) a) Find f n)(x) ; the nth derivative of f(x) b) Using Taylor's theorem, for any i in N and for all x > - 2 show that
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f(x) = loge (3 + x)
a) Find f n)(x) ; the nth derivative of f(x) b) Using Taylor's theorem, for any i in N and for all x > - 2 show that
Transcribed Image Text:Let f(x) = In(3 + x).
22).
a) Find f(x) ; the nth derivative of f(x).
b) Using Taylor's theorem, for any k e N and for all x > -2, show that
(x-2)-(x- 2) ++-2)* < In(3 + x)
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