# Uniform convergence of functions

a) Find $f(x) = \lim _{n→∞ }f_n(x).$

b) Show that for $a > 0$, $\{f_n\}$ converges uniformly to $f$ on $[a,∞)$.

c) Show that $\{f_n\}$ does not converge uniformly to $f$ on $[0,∞).$

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Erdos

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