Give reason why we can/can't use L'Hopital rule to find the following limit and caiculate the limit: x sin(x) lim

College Algebra
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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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2.
Give reason why we can/can't use L'Hopital rule to find the following limit
and čaiculate the limit:
x sin (x)
lim
et
Transcribed Image Text:2. Give reason why we can/can't use L'Hopital rule to find the following limit and čaiculate the limit: x sin (x) lim et
Expert Solution
Step 1

To determine the existence of the limit, substitute 0 for x in the denominator and estimate the value.

ex=e0=1

Since the denominator has a finite value, so the expression have a determinable form.

Thus, L'Hopital rule cannot be applied.

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