Lemma practice generator uniform-distance #68,955 · Real Analysis · Uniform convergence

How fast does f_n converge uniformly?

Let $f_{n} (x) = \frac{x}{1 + 68 , 956 x ^{2}}$ on $[0, \infty)$ . Find $sup_{x \geq 0} ∣ f_{n} (x) ∣$ .

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