Suppose that the function f:[a,b]-->R is bounded and that it is continuous except at one point x_0 in the open interval (a,b). Prove that f:[a,b]-->R is integrable.
Step-by-step explanation:xn − xn−1 + xn−1 − xn−2 + ··· + x2 − x1 + x1 − x0. = xn − x0. = |I|. Suppose that f : [a, b] → R is a bounded function on the compact interval.
