# Math Help - How could I show this?

1. ## How could I show this?

Show by means of an example that lim x->a [f(x) + g(x)] may exist even though neither lim x->a f(x) nor lim x->a g(x) exists.

How could I show this?

2. One option is to take a function $f$, for which the limit at $x=a$ does not exist, and then take $g(x) = -f(x)$.