Suppose f and g are differentiable functions on an open interval containing the number a, except f(x) is possibly at a itself and that g' (æ) + 0 for all a in the interval, except possibly at a. If lim g(x) f'(x) an indeterminate form and lim Ia g' (x) f(x) L or too, then lim g(x) f(x) lim g(x) %3D Select one: O a. False O b. True

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Suppose f and g are differentiable functions on an open interval containing the number a, except
f(x)
is
possibly at a itself and that g' (æ) + 0 for all ar in the interval, except possibly at a. If lim
g(x)
f'(x)
an indeterminate form and lim
Ia g' (x)
f(x)
Lor too, then lim
g(x)
f(x)
lim
エ→Q
Select one:
O a.
False
O b. True
Transcribed Image Text:Suppose f and g are differentiable functions on an open interval containing the number a, except f(x) is possibly at a itself and that g' (æ) + 0 for all ar in the interval, except possibly at a. If lim g(x) f'(x) an indeterminate form and lim Ia g' (x) f(x) Lor too, then lim g(x) f(x) lim エ→Q Select one: O a. False O b. True
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