Question

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:

has indeterminate form , but we can factor and reduce.

On substituting, We get

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

### Related Questions to study

### Assertion : A random variable X takes the values 0,1,2. It’s mean is 0.6. If P(X=0) =0.5 then P(X=1) = 0.4

Reason: If X : S R is a discrete random variable with range 1 2 3 x , x , x ,.... then mean

### Assertion : A random variable X takes the values 0,1,2. It’s mean is 0.6. If P(X=0) =0.5 then P(X=1) = 0.4

Reason: If X : S R is a discrete random variable with range 1 2 3 x , x , x ,.... then mean

Infinite limits in calculus occur when the function is unbounded and tends toward infinity or negative infinity as x approaches a given value.

Infinite limits in calculus occur when the function is unbounded and tends toward infinity or negative infinity as x approaches a given value.

### A wire of length 50 cm and cross - sectional area of 1 mm^{2} is extended by 1 mm what will be the required work?

### A wire of length 50 cm and cross - sectional area of 1 mm^{2} is extended by 1 mm what will be the required work?

The work per unit volume to stretch the length by 1% of a wire with cross - section area 1 mm^{2} will be.....

The work per unit volume to stretch the length by 1% of a wire with cross - section area 1 mm^{2} will be.....

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 0 over 0 or

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or