Question: (10) Let f be a continuous, positive function defined on [1, co) such that lim f(r) exists (i.e. the T-+00 limit is finite). POO (a)

(10) Let f be a continuous, positive function defined on [1, co) such that lim f(r) exists (i.e. the T-+00 limit is finite). POO (a) Give an example of such a function f such that (f(z))2dr converges but f(x)dr diverges. 00 (b) Prove that if f(x)dr converges, then (f(x))-dr converges

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