Prove the following using epsilon-delta definition:
Let $a \in \mathbb{R}$ and $f,g$ be defined on $\mathbb{R}$.
IF $\lim_{x\to a} f(x) = 647$ AND $\lim_{x\to a} g(x) = \infty$, then
$$\lim_{x\to a} f(x) + g(x) = \infty.$$
Not sure about this... I've set up the definitions. I believe we will have to take a minimum between the deltas for first two limits then use it in the third.
Anyone have any clues?