Source: wikibot/weierstrass-function

= Weierstrass function
{wiki=Weierstrass_function}

The Weierstrass function is a famous example of a function that is continuous everywhere but differentiable nowhere. It was introduced by Karl Weierstrass in the 19th century and serves as a key example in analysis and the study of pathological functions. The Weierstrass function demonstrates that continuity does not imply differentiability, challenging intuitive notions about smooth functions.