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## Homework Statement

For each of the following sequences (f

_{n}), find the function f such that f

_{n}--> f. Also state whether the convergence is uniform or not and give a reason for your answer.

## Homework Equations

a.) f

_{n}(x) = 1/x

^{n}for x greater than or equal to 1

b.) f

_{n(x) = x/(1+xn) for x element of [0,1] The Attempt at a Solution a. I think the limit function is 1 if x=1 and 0 if x?1. I also think it does not converge uniformly but do not know why. b. I think the limit function is 0 if x=0 and 1/2 if x=1. I think it does not converge uniformly.}