# Question #d5a95

##### 2 Answers

This question is answered here: https://socratic.org/questions/how-do-you-use-the-squeeze-theorem-to-find-lim-sin-x-x-as-x-approaches-zero

See the explanation.

#### Explanation:

We must prove that

**L'Hospital's Rule** is a handy tool for **calculating limits** involving **indeterminate forms like**

If we are taking the limit

Apparently, when we use **substitution method to evaluate the limit,** we end up with an **indeterminate form**

**L'Hospital's Rule** states that instead of evaluating

we can evaluate the limit of

**Given:**

When we evaluate this limit we get

Hence, we will use the **L'Hospital's Rule** for our problem.

Differentiate

and

We will use these intermediate results in

We get,

Substitute

Hence,