# Lim x->0 tan^-1x/x solve?

##### 2 Answers

#### Explanation:

So we can try L'Hopital's rule:

For the numerator:

and the denominator:

There fore we get:

Alternate way of thinking of it, but

#### Explanation:

One thing to consider is approximations of trigonometric functions when

The first thing to note is that

This is due to

Hence

So hence

But we know the inverse of

We can say this as

Like I said at the beggining this method is a very non- rigorous approach, and doesnt always work on all functions

I'd advise you to use