Why does cos[n(x+1)] for n->00 fail to have a limit at every x on [0,1]?
I'm having a hard time visualizing it.
Why does cos[n(x+1)] for n->00 fail to have a limit at every x on [0,1]?
I'm having a hard time visualizing it.
The function doesnt exist as n->00? I'm looking for a function cont. on fn:[0,1]->[0,1] that fails to have a limit for every x in [0,1], and when integrating it from 0 to 1 as n->00 it equals 0. I thought I read somewhere that this fit the description?