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Sequences of Functions and Uniform Convergence

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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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a) ,
First, I claim that is convergent and . We ...

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