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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

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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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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

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)
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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