A function f is of bounded variation on the closed interval [a, b] if there is a number K such that m Eis(=;) – f(xj-1)| < K j=1 for any partition P = {a = xo < x1 < • ·· < xm = b}. Assume f is of bounded variation on [a, b]. Prove the following statements: (i) The function f is bounded on [a, b]. (ii) The function f is integrable on [a,b].

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