The task is: Does the function $$ f_n(x)= \frac{2nx}{(1+n^2x^2)} $$
convergence uniformly in the interval [0,1]? And in (1, +infinity)?
The task is: Does the function $$ f_n(x)= \frac{2nx}{(1+n^2x^2)} $$
convergence uniformly in the interval [0,1]? And in (1, +infinity)?
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