RGFT Task 2
Running head: RGFT TASK 2 CALCULUS I
RGFT Task 2 Calculus I – Limits
Western Governors University
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.
L'Hopital's Rule allows us take a short cut in evaluating the limit of a problem
,
For example take the limit
,
If we attempt to solve by substitution both the numerator and denominator
,
,
tend to zero so the limit can range from zero to infinity or something in
.
.
,
between
The limit is undefined
By l'Hopital's rule
we simply take the
.
derivatives of top and bottom of the fraction separately This yields
=
6
Another
case
=
This would become
=
e
’
We can see from the above examples that l Hopital Rule revolutionizes the way
.
a limit is solved by an average Calculus student When direct substitution is not
,
possible we can now find out the limit easily when the equation meets certain
.
,
qualifications In other words l
’
’
Hopital s Rule tells us that if we have an
indeterminate form or
then all we need to do is differentiate the numerator
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 Spring '11
 smith
 Calculus, Limits, Limit, Limit of a function, Indeterminate form, rgft task

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