Question
If 
then 
has the value
none of these
none of these
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 If then .
The correct answer is: none of these
If then
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 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
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then 
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The basic problem of this indeterminate form is to know from where tends to one (right or left) and what function reaches its limit more rapidly.
The basic problem of this indeterminate form is to know from where tends to one (right or left) and what function reaches its limit more rapidly.
The basic problem of this indeterminate form is to know from where tends to one (right or left) and what function reaches its limit more rapidly.
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The basic problem of this indeterminate form is to know from where tends to one (right or left) and what function reaches its limit more rapidly.
The basic problem of this indeterminate form is to know from where tends to one (right or left) and what function reaches its limit more rapidly.
