# Math Help - infinite branch

1. ## infinite branch

how we know or prove that a function has a branch infinite
and how we study it?

2. Originally Posted by ali
how we know or prove that a function has a branch infinite
and how we study it?
What do you mean by an infinite branch? Can you give a small example?

3. like if you take a function tan
and you draw the curve or graph you have 2 infinte branches

4. Originally Posted by ali
like if you take a function tan
and you draw the curve or graph you have 2 infinte branches
You can prove it by taking the limit as the function goes to infinity at a point. For example if you want to prove that tan has two infinite branches, you would say:

$\lim_{x->\frac{\Pi}{2}^-}tan(x)=\infty$
$\lim_{x->\frac{\Pi}{2}^+}tan(x)=-\infty$

- Wolfram|Alpha