Maths-
General
Easy
Question
- 1
- 0
- a
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 
.
The correct answer is: 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.
( L'Hopital's Rule for zero over zero, 
= 
)
(d(sinax)/dx = a cos(ax) , -sin x)
On substituting, We get
= a
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 
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