Question
- 2bcos a
- 2bsin a
- 2cos a
- 2sin a
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: 2bcos a
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.
(sin (a + b) = sin a cos b + cos a sin b , sin (a - b) = sin a cos b - cos a sin b)
(
)
or, 
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 
Related Questions to study
What will be the nature of change in internal energy in case of processes shown below?
What will be the nature of change in internal energy in case of processes shown below?
Young's modulus of rubber is 
and area of cross section is 2 cm2 if force of 
dyne is applied along its length then its initial length L becomes….
Young's modulus of rubber is and area of cross section is 2 cm2 if force of dyne is applied along its length then its initial length L becomes….
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 
'
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 .
