Naked Eye Convergence

[Chad S]

Sorry, I forgot to ask about this at the review session. How do we
know how many terms of a series will give us naked eye convergence?
How are they related to the coefficients for the three different cases
(jumps, only corners, neither)? Is there some constant c s.t when 1/
n^x < c we can assume n terms shows naked eye convergence? If not, can
we just assume < 10 terms will have naked eye convergence for first
order continuous functions, <50 for functions with corners, and < ??
for jumps?

Thanks