Question
- 0
- log x
- 1
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: 1
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.
( L'Hopital's Rule for zero over zero, 
.)
Differentiate the above form, we get
On substituting, We get
= 1
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 
'
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 
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
