Question: Let a sequence of functions :(0,1) be defined by ()= /+1. (a) What is the function :(0,1) that is the pointwise limit of () on

Let a sequence of functions :(0,1) be defined by ()= /+1.

(a) What is the function :(0,1) that is the pointwise limit of () on (0,1)? Write a proof.

(b) Prove that the convergence of () to is not uniform on (0,1).

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