Question

- 1
- 0
- 2

Hint:

### We can apply L'Hopital's rule, also commonly spelled L'Hospital's rule, whenever direct substitution of a limit yields an indeterminate form. This means that the limit of a quotient of functions (i.e., an algebraic fraction) is equal to the limit of their derivatives.

In this question, we have to find value of .

## The correct answer is: 2

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.

( we know, )

= ( Let = y, we know )

Now, We can write simply

= =2

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

### 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 .