Maths-

General

Easy

Question

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. Direct substitution can sometimes be used to calculate the limits for functions involving trigonometric functions.

In this question, we have to find value of .

## The correct answer is:

Let

= sec3( − h )cos5( − h )

( −cosec 3h )( sin 5h ) =

=

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 know that,

=

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or

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