There are no points in (2,5) where *h* is undefined, so we don't need to worry about that. The only point in (2,5) where the limit might be disagreeable or not exist is at *x *= 4. The left-hand limit is The right-hand limit is Since the one-sided limits disagree, doesn't exist, therefore *h* is discontinuous at *x* = 4. Therefore *h* is not continuous on the interval (2,5). | |