Maths-
General
Easy
Question
- 1
- 0
- 2
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: 2
We first try substitution :
= 
= 
= 
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 know, 
)
= 
( Let 
= y, we know 
)
Now, We can write simply
= 
=2
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 
.
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