# Math Help - Limit

1. ## Limit

Is it correct to say that $\lim_{M\to\infty}\frac{1}{2}tan^{-1}(M^2)=\frac{\pi}{4}$?

2. Originally Posted by slevvio
Is it correct to say that $\lim_{M\to\infty}\frac{1}{2}tan^{-1}(M^2)=\frac{\pi}{4}$?
Yes.

3. Originally Posted by slevvio
Is it correct to say that $\lim_{M\to\infty}\frac{1}{2}tan^{-1}(M^2)=\frac{\pi}{4}$?
Yes! You know that the inverse tangent function limits off at $\frac{\pi}{2}$, so you just use properties of limits and multiply it by one half.