I want to prove that $f(x) \rightarrow \infty $ when $x\rightarrow 1^+$. My tactic is to prove that no matter how big you choose a $N\in \mathbb{R}$, you can always find a $\delta>0$ so the following statement is true:
$ f(x) > N $ for all $x\in \left] 1, 1+\delta \right[$
Is my technique correct?