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QUESTION
Does the sequence of functions (fn) defined on the interval [0,1] by fn(x) = nx / (1+n^2x^2 ) converge pointwise? Does it converge uniformly?
Does the sequence of functions (fn) defined on the interval [0,1] by fn(x) = nx / (1+n^2x^2 ) converge pointwise? Does it converge uniformly?
