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Copy of Uniform convergence 2

התכנסות במ"ש uniform

This applet demonstrates that f_n(x) = 2nx/(1 + n^2 x^2) converges to f(x) =0 uniformly on (a, infinity) for any a>1, but not uniformly on (0, infinity).

התכנסות נקודתית pointwise

This applet demonstrates the pointwise convergence of f_n(x) = e^(n(x-1)) to f(x) =0 on (0,1).