Can someone give me a clue as to how to solve the following:

Assume:$\displaystyle f,g

\to \mathbb{R}$, with $\displaystyle D\subseteq \mathbb{R}$ and a is an accumulation point of D.

Prove that if $\displaystyle \lim_{x\to a}f(x)=+\infty$ and $\displaystyle \lim_{x\to a}g(x)=L$, then $\displaystyle \lim_{x\to a}(f+g)(x)=+\infty$.

$\displaystyle \color{red}\mbox{As}\,\,(f+g)(x)=f(x)+g(x)\,\,\mbo x{, this follows at once from arithmetic of limits}$

also, I was wondering how to show that:

$\displaystyle \lim_{x\to a}(\frac{g}{f})(x)=0$