"(a) Let f be the real function on the interval [0, 1] given by f(x) = 0, when x = IT: = 0 when 0 < x≤ 1. Show that for every e > 0 there exists a partition Psuch that U(f, P) - L(f, Pc) < £, where U (f, Pr) and L(f, P.) are the upper and lower Riemann sums for the partition. Use this to determine if f is Riemann integrable."

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