Given:
$$ \lim_{x\to1+}f(x)= +\infty $$ Formulate the limit definition.
I have two candidates and was wondering if they were both correct and indeed equivalent.
1)$$ \forall M>0, \exists \delta>0 \text{ such that whenever, } 0< x-1< \delta, \text{we have that} f(x)>M $$ Or alternatively
2)$$ \forall M>0, \exists \delta>0 \text{ such that whenever, } x \in (1, 1+ \delta), \text{we have that} f(x)>M $$