Question

I'm at a complete loss for how to do this.

Example for 1: The limit for f(x) is obviously 2, but is the limit for g(x) 2, or 3? It's different depending on which direction you come from. I've tried all combinations, as well as DNE (limit does not exist), but those are wrong. Is there something I'm missing here?

Answer 1

Explanation:

As the graph of g(x) has a jump discontinuity at x = 1 the limit as x approaches 1 does not exist.

Therefore limit x---> 1 of f(x) + g(x) does not exist.