## eplison lambda limit proof

there are f and g which are defined on surraunding of c and excludes [tex]x_{0}[tex]point in this surroundings.
$\lim_{x\rightarrow x_{0}(fg)(x)=\infty}$
prove or dissprove the following statements.
1.if $\delta>0$ so g(x)>0 and f(x)>0 and for every x of $N*_{\delta}(x_{0})$then
$\lim_{x->x_{0}}f(x)=\infty or \lim_{x->x_{0}}g(x)=\infty$