prove a few more cases of the following general statement (there are so many possibilities that you should select just a few, if any, that interest you): If lim f(x) - lim g(x)- I and lim f'(x)/g'(x) - (), then lim f (x)/g(x) . H ) ere [ ] can be a or a+ or a or oo or -oo, and can be 0 or oo or -oo, and ( ) can be I or oo or -oo

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.4: Graphs Of Logarithmic Functions
Problem 60SE: Prove the conjecture made in the previous exercise.
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prove a few more cases of the following general statement (there are so many
possibilities that you should select just a few, if any, that interest you):
If lim f(x) - lim g(x)- I and lim f'(x)/g'(x) - (), then lim
f (x)/g(x) . H )
ere [ ] can be a or a+ or a or oo or -oo, and
can be 0 or oo or -oo, and (
) can be I or oo or -oo
Transcribed Image Text:prove a few more cases of the following general statement (there are so many possibilities that you should select just a few, if any, that interest you): If lim f(x) - lim g(x)- I and lim f'(x)/g'(x) - (), then lim f (x)/g(x) . H ) ere [ ] can be a or a+ or a or oo or -oo, and can be 0 or oo or -oo, and ( ) can be I or oo or -oo
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