Show that the following sequence of functions sin nx nx+1 fn(x) = converges uniformly on [1,...

Transcribed Image Text:

Show that the following sequence of functions sin nx nx+1 fn(x) = converges uniformly on [1, +∞). Prove that the following series Σx²e-nz n=1 converges uniformly on (0, +∞). Show that the following sequence of functions sin nx nx+1 fn(x) = converges uniformly on [1, +∞). Prove that the following series Σx²e-nz n=1 converges uniformly on (0, +∞).