Select all true statements. Assume that all the limits are all taken at the same point.

A. If the right-hand limit exists, then the two-sided limit exists. B. If the left-hand limit exists, then the two-sided limit exists. C. If the left- and right-hand limits both exist and are equal, then the two-sided limit exists. D. If the two-sided limit exists, then the left- and right-hand limits both exist and are equal.