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Does the sequence $f_n=\arctan (\frac{2x}{x^2+n^3})$ converge uniformly on $\mathbb{R}$? 

Prove of disprove that the sequence
$$f_n=\arctan (\frac{2x}{x^2+n^3})$$
converges uniformly on $\mathbb{R}.$

Real Analysis Functional Analysis
Savionf Savionf
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Nirenberg Nirenberg
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