Nowhere continuous function: Difference between revisions

Revision as of 12:57, 15 January 2014

Revision as of 13:10, 15 January 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_{jk\to\infty}\left(\lim_{kj\to\infty}\left(\cos(k!\pi x)^{2j}\right)\right)</math>

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