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:

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.

=

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

### Related Questions to study

### Two wires of same diameter of the same material having the length and 2 If the force is applied on each, what will be the ratio of the work done in the two wires?

### Two wires of same diameter of the same material having the length and 2 If the force is applied on each, what will be the ratio of the work done in the two wires?

### A graph is shown between stress and strain for metals. The part in which Hooke's law holds good is

### A graph is shown between stress and strain for metals. The part in which Hooke's law holds good is

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

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

### The graph shown was obtained from experimental measurements of the period of oscillations T for different masses M placed in the scale pan on the lower end of the passing through the origin is that the,....

### The graph shown was obtained from experimental measurements of the period of oscillations T for different masses M placed in the scale pan on the lower end of the passing through the origin is that the,....

### What is the possible value of poison’s ratio?

### What is the possible value of poison’s ratio?

### What is the relationship between Young's modulus Y, Bulk modulus k and modulus of rigidity ?

### What is the relationship between Young's modulus Y, Bulk modulus k and modulus of rigidity ?

### The area of the parallelogram whose adjacent sides are is sq. units. If then

### The area of the parallelogram whose adjacent sides are is sq. units. If then

### Shearing stress causes change in

### Shearing stress causes change in

# A $2m$ long rod of radius $1cm$ which is fixed from one end is given a twist of $0.8$ radian. The shear strain developed will be

# A $2m$ long rod of radius $1cm$ which is fixed from one end is given a twist of $0.8$ radian. The shear strain developed will be

### Mark the wrong statement.

### Mark the wrong statement.

### The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of 30° Then what is the angle of shear?

### The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of 30° Then what is the angle of shear?

### The pairs each determines a plane. Then the planes are parallel if

Cross product of two vectors is equal to the product of their magnitudes and sin of the angle between them. When two vectors are parallel, the angle between them is zero resulting their dot product as zero.

### The pairs each determines a plane. Then the planes are parallel if

Cross product of two vectors is equal to the product of their magnitudes and sin of the angle between them. When two vectors are parallel, the angle between them is zero resulting their dot product as zero.

The lower surface of a cube is fixed. On its upper surface is applied at an angle 30º of from its surface. What will be the change of the type?

The lower surface of a cube is fixed. On its upper surface is applied at an angle 30º of from its surface. What will be the change of the type?