Maths-
General
Easy
Question
- 2
- 4
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:
We first try substitution:
= 
= 
( L'Hopital's Rule for zero over zero.)
Since the limit is in the form , 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 write simply,
= 
=
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or 
.
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