Question
- 1
- x
- 0
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: 0
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 know that = 1 & =1.)
So, - = 1- 1 = 0
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 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 .
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 or .
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 .
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means .
C is left in a room to cool. Which of the curves shown in the figure, represents the correct behaviour
