Try another version of this question Given the following one-sided limits, does the two-sided limit exist? `lim_(x to 2^-)f(x) = 6`, `lim_(x to 2^+)f(x) = 1` Box 1: Select the best answer
To determine if a two-sided limit exists at a point based on given one-sided limits, recall that a two-sided limit at `x=2` exists if and only if both one-sided limits as `x` approaches `2` from the left (`x→2^-`) and from the right (`x→2^+`) are equal and finite. If these one-sided limits match, the two-sided limit exists at that point. If they do not match, the two-sided limit does not exist.
No