Maths-
General
Easy
Question
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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:
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.
(Hence the derivative of cos x is -sin x.)
(Again We first try substitution, we get the form 0 over 0.)
(
)
so, On substituting, We get
=
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 
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