" Given that for some function " f(x): (lim)┬(x→ -1^+ ) f(x)=2" and " (lim)┬(x→ -1^- ) f(x)=2 " what is true?"

Answer 1

So you're taking the limit of f(x) from the right side as x approaches -1 and then taking the limit of f(x) from the left side as x approaches -1. For both limits, the answer is 2, so by the squeezing theorem, the overall limit as x approaches -1 is 2.