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### 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.

(We know that ,)

Therefore we can simply write,

=

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

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