when is a function said to be continuous
Continuous function In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output. Otherwise, a function is said to be a discontinuous function. A continuous function with a continuous inverse function is called a homeomorphism.
Love Is Here to Stay "Love Is Here to Stay" was first performed by Kenny Baker in The Goldwyn Follies but did not reach popularity until it was sung by Gene Kelly to Leslie Caron in the film An American in Paris (1951).[1] The song appeared in Forget Paris (1995) and Manhattan (1979). It can also be heard in the film When Harry Met Sally (1989) sung by Louis Armstrong and Ella Fitzgerald.[2]