A function is defined by: In( x- 1) f (x) =- 1-x a) Using L'Hopital's rule, show that: lim f (x) =0, lim f (x) DNE 00 -r
A function is defined by: In( x- 1) f (x) =- 1-x a) Using L'Hopital's rule, show that: lim f (x) =0, lim f (x) DNE 00 -r
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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Nedeed to be solved in 25 minutes both part's
Transcribed Image Text:A function is defined by:
In( x- 1)
f (x) =
1-x
a) Using L'Hopital's rule, show that:
lim f ( x) =0,
lim f (x) DNE
b) Determine the critical points of f(x). Using the 2nd-derivative, determine if each critical point is
a local max or min.
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