Question

- 0
- log x
- 1

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: 1

We first try substitution:

=

Since the limit is in the form 0 over 0. 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.

( L'Hopital's Rule for zero over zero, .)

Differentiate the above form, we get

On substituting, We get

= 1

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

### Related Questions to study

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 '

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 .

### PV versus T graph of equal masses of , He and is shown in figure Choose the correct alternative

### PV versus T graph of equal masses of , He and is shown in figure Choose the correct alternative

### If then

### If then

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 .

### If then

### If then

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 .