Problem:
Give numerical evidence to evaluate


Visualization:
Using Maple:

> f:= x -> sin(2*Pi*x);

> L:=[n, 2^n*100, f(2^n*100)];

> for n from 1 by 1 to 12 do print(evalf(L)); od;

The evidence appears to indicate that the limit is 0 but this is not true.