# What is the limit as #t# approaches 0 of #(tan6t)/(sin2t)#?

##### 2 Answers

*We determine this by utilising L'hospital's Rule*.

To paraphrase, L'Hospital's rule states that when given a limit of the form

Or in words, the limit of the quotient of two functions is equal to the limit of the quotient of their derivatives.

In the example provided, we have

Therefore, we should make use of L'Hospital's Rule.

The Reqd. Lim.

#### Explanation:

We will find this **Limit** using the following **Standard Results :**

Observe that,

Here,

Similarly,

Therefore, the Reqd. Lim.