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Sequences of Functions and Uniform Convergence

Discuss the convergence and the uniform convergence of each of the following sequences of functions on the given set D. Give reasons to your answers:

a) f_n(x) = (x/n)e^(-x/n), D = [0, infinity)

b)f_n(x) = (x^n)/(1 + x^2n), D = [2, infinity)

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