Pretty simple --- in Maple 13, I try plot(x^2, view = 1.995..2.005,3.99..4.01) and I get the below.  Any idea what's going on?

I regularly choose a function for my numerical analysis class that looks bad (i.e., has jumps) when graphed on a small domain.  For example,

plot(ln(1+x), x = -10^(-15) .. 10^(-15))

If I increase Digits or use a Taylor series to replace ln(1+x), the graph looks fine.

I tried this with cos(x) - x as follows:

plot(cos(x)-x, x = -10^(-16) .. 10^(-16))