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 .

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means .