Sorry for the naff title, don't really know how else to put it. The question goes...

Let $\displaystyle a_{n}$ be a sequence tending to $\displaystyle a$ and let $\displaystyle k$ be a real number. Give an $\displaystyle \epsilon-N$ proof that $\displaystyle \lim_{n\rightarrow\infty}(k+a_{n})=k+\lim_{n\right arrow\infty}a_{n}$.

Looks simple enough, but I can't get a handle on it at all.