Even and odd functions: Difference between revisions

Revision as of 10:36, 22 January 2024

Revision as of 10:45, 22 January 2024

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A function's being odd or even does not imply [[differentiable function|differentiability]], or even [[continuous function|continuity]]. For example, the [[Dirichlet function]] is even, but is nowhere continuous.

In the following, properties involving [[derivative]]s, [[Fourier series]], [[Taylor series]] are considered, and so on suppose that these concepts are definedthus ofsupposed theto functionsbe thatdefined arefor the considered functions.

===Basic analytic properties===