Question
- 1
- 0

- 2
Hint:
If the function has a square root in it and Substitution yields 
, 0 divided by 0, then multiply the numerator and the denominator by
1=
As with Factoring, this approach will probably lead to being able to cancel a term.
The correct answer is: 
We first try substitution:
=
= 
Since the limit is in the form
, it is indeterminate—we don’t yet know what is it. We need to do some work to put it in a form where we can determine the limit.
So let’s get rid of the square roots, using the conjugate just like you practiced in algebra: multiply both the numerator and denominator by the conjugate of the numerator 
.

x 



Put the value x = 0 so,
= 
Therefore limit value of
= 
Related Questions to study
If
then
If
then
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or
.
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or
.
Hence Choice 4 is correct
Hence Choice 4 is correct
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or
.
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or
.
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means .
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means .