You're arguing that analog systems have infinite resolution, which is simply false. It's a commonly held belief, though.
I'm not arguing, I'm stating a fact, which has nothing to do with bandwidth or resolution. You are confusing bandwidth which you brought up earlier and resolution now and whatever else with the simple fact that an analog waveform will, at any point in time, be at any one of an infinite number of possible levels. Anything continuous like an analog waveform has an infinite number of possible points.
Q: how many point are there on a line?
A: an infinite number
Let's say for example your DAC has a minimum output level of zero volts and a maximum of 2 V and the output is a sine wave varying between those 2 levels. If you are correct, tell me what level between and 0 and 2 is it incapable of producing? What voltage levels does it skip on its way from 0 to 2v?
.0000001 ?
.000001 ?
.00001 ?
.0001 ?
.001 ?
.01 ?
.1 ?
1 ?
1.1 ?
and so forth
none of these and none of the other possible infinite number of possible levels between these