Weierstrass M-test
= Weierstrass M-test
{wiki=Weierstrass_M-test}
The Weierstrass M-test is a criterion used in analysis to establish the uniform convergence of a series of functions. More specifically, it provides a way to determine whether a series of functions converges uniformly to a limit function on a certain domain. \#\#\# Statement of the Weierstrass M-test Consider a series of functions \\( \\sum_\{n=1\}^\{\\infty\} f_n(x) \\) defined on a set \\( D \\).