1. sided limit

I have to show $\lim_{x\to 1^+}\frac{x}{x-1}=+\infty$
I have no idea how to begin... any help?

2. Originally Posted by dannyboycurtis
I have to show $\lim_{x\to 1^+}\frac{x}{x-1}=+\infty$
I have no idea how to begin... any help?
$\frac{x}{x-1}=1+\frac{1}{x-1}$ So you want to prove that $\forall N$, $\exists~\delta>0$ such that $|x-1|<\delta$ implies $1+\frac{1}{x-1}>N$.

So given an $N$, let $\delta=\frac{1}{N-1}$.