Question

Hint:

### The initial form for the limit is indeterminate to the power of infinity So, use the formula. In this question, we have to find value of .

## The correct answer is:

this is known as an indeterminate form, because it is unknown. One to the power infinity is unknown because infinity itself is endless. Take a look at some examples of indeterminate forms. To solve this limit we will use the following formula -

The basic problem of this indeterminate form is to know from where tends to one (right or left) and what function reaches its limit more rapidly.

### Related Questions to study

### A soap bubble is blown with the help of a mechanical pump at the mouth-of a tube the pump produces a certain increase per minute in the volume of the bubble irrespective of its internal pressure the graph between the pressure inside the soap bubble and time t will be

### A soap bubble is blown with the help of a mechanical pump at the mouth-of a tube the pump produces a certain increase per minute in the volume of the bubble irrespective of its internal pressure the graph between the pressure inside the soap bubble and time t will be

The basic problem of this indeterminate form is to know from where tends to one (right or left) and what function reaches its limit more rapidly.

The basic problem of this indeterminate form is to know from where tends to one (right or left) and what function reaches its limit more rapidly.

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

### The correct relation is.

### The correct relation is.

A vessel whose bottom has round holes with diameter of 0.1 mm is filled with water. The maximum height to which the water can be filled without leakage is

(S.T. of water )

A vessel whose bottom has round holes with diameter of 0.1 mm is filled with water. The maximum height to which the water can be filled without leakage is

(S.T. of water )

**f(x) gets closer than that distance to l and stays closer as x increases**. f(x) =

**f(x) gets closer than that distance to l and stays closer as x increases**. f(x) =

### A capillary tube at radius R is immersed in water and water rises in it to a height H. Mass of water in the capillary tube is M. If the radius of the tube is doubled. Mass of water that will rise in the, capillary tube will now be

### A capillary tube at radius R is immersed in water and water rises in it to a height H. Mass of water in the capillary tube is M. If the radius of the tube is doubled. Mass of water that will rise in the, capillary tube will now be

Direct substitution can sometimes be used to calculate the limits for functions involving trigonometric functions.

Direct substitution can sometimes be used to calculate the limits for functions involving trigonometric functions.

If the excess pressure inside a soap bubble is balanced by oil column of height 2 mm then the surface tension of soap solution will be

If the excess pressure inside a soap bubble is balanced by oil column of height 2 mm then the surface tension of soap solution will be