Let fn be a sequence of frequency functions with fn(x) = 1
Chapter , Problem 28(choose chapter or problem)
Let \(f_n\) be a sequence of frequency functions with \(f_{n}(x)=\frac{1}{2}\) if \(x=\pm\left(\frac{1}{2}\right)^{n}\) and \(f_{n}(x)=0\) otherwise. Show that lim \(f_{n}(x)=0\) for all x, which means that the frequency functions do not converge to a frequency function, but that there exists a cdf F such that lim \(F_{n}(x)=F(x)\).
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