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