Question

Limits..

Answer 1

I just need help understanding what limits are etc. so i can do this problem...

Answer 2

do you know what an asymptote is?

Answer 3

@estherstap

Answer 4

A limit of a function \(f(x)\) is the value \(L\) that \(f\) appears to be converging to as \(x\) converges to a certain value \(c\). This is written as \(\lim\limits_{x\to c}f(x)=L\) (provided the limit actually exists; if it doesn't exist, then there is no such \(L\)).

Roughly speaking, the limit is the value that \(f\) seems to be taking on as \(x\) gets nearer to \(c\), but not necessarily the value of \(f\) when \(x=c\). It's not always the case that \(\lim\limits_{x\to c}f(x)=f(c)\) because \(f(x)\) may not be continuous or \(f(c)\) may not even exist.