Nowhere continuous function: Difference between revisions

Revision as of 03:53, 3 May 2014

Revision as of 07:41, 6 May 2014

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The ''Dirichlet function'' can be constructed as the double pointwise limit of a sequence of continuous functions, as follows:

:<math>f(x)=\lim_{k\to\infty}\left(\lim_{j\to\infty}\left(\cos(k!\pi x)\right)^{2j}\right)\right)</math>

for integer ''j'' and ''k''.