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 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
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 )
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
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
The quadratic equation whose roots are I and m where
is
The quadratic equation whose roots are I and m where is
Two bubbles A and B (A>B) are joined through a narrow tube than,
Two bubbles A and B (A>B) are joined through a narrow tube than,
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.
In capillary pressure below the curved surface at water will be
In capillary pressure below the curved surface at water will be
is equal to
The substitution rule for calculating limits is a method of finding limits, by simply substituting the value of x with the point at which we want to calculate the limit.
is equal to
The substitution rule for calculating limits is a method of finding limits, by simply substituting the value of x with the point at which we want to calculate the limit.
A spherical drop of coater has radius 1 mm if surface tension of context is 
difference of pressures betweca inside and outside of the spherical drop is
A spherical drop of coater has radius 1 mm if surface tension of context is difference of pressures betweca inside and outside of the spherical drop is
The substitution rule for calculating limits is a method of finding limits, by simply substituting the value of x with the point at which we want to calculate the limit.
The substitution rule for calculating limits is a method of finding limits, by simply substituting the value of x with the point at which we want to calculate the limit.
