Question: Problem 5 Consider the sequence of functions (fn) defined by fn(x) = on 1+nx [0, 00). (a) (4 pts) What is the pointwise limit of

Problem 5 Consider the sequence of functions (fn) defined by fn(x) = on 1+nx [0, 00). (a) (4 pts) What is the pointwise limit of (fn) on [0, co) ? (b) (4 pts) Does (fn) converge uniformly on [0, 1]? Explain your answer. (c) (4 pts) Prove that (In) converge uniformly on [1, co)

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