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Given the following one-sided limits, does the two-sided limit exist?
`lim_(x to 5^-)f(x) = 8`, `lim_(x to 5^+)f(x) = 8`
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=5` exists if and only if both one-sided limits as `x` approaches `5` from the left (`x→5^-`) and from the right (`x→5^+`) 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.
Box 1: Select the best answer
Yes