Question
- 1
- 0
- 2
does not exist
does not exist
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 ;
)
(The derivative of 
is 
, where -1 < x < 1)
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
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is adiabatically compressed so that its temperature rises from 
The work done by the gas is (R=8.47J/mol/K)
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A copper wire and a steel wire of same diameter and length are connected end to end a force is applied, which stretches their combined length by 1 cm, the two wires will have.....
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We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
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then x=
, 
, 
then A+B+C=
then 
=
and 
then the quardrant in which 
lies
