Try another version of this question Given the following one-sided limits, does the two-sided limit exist? `lim_(x to 4^-)f(x) = 5`, `lim_(x to 4^+)f(x) = 5` 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=4` exists if and only if both one-sided limits as `x` approaches `4` from the left (`x→4^-`) and from the right (`x→4^+`) 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.
Yes