> the capsule, or the mics preamp? ...I realize this might be a fairly basic question
As Jakob says:
It's well-known that tubes and transistors can be designed to work from DC to MHz. (OK, simple hi-gain tubes fall at 50KHz or somewhat less, but supersonic.)
So any limit at *EITHER* end of the audio band is either design decision, or capsule limits.
Everything has a treble limit. There's no magic in passive devices (the capsule), they work with the small stray power from sound waves, so there is a trade-off between bandwidth and output level. Electronic gain is cheap, but everything hisses, so output level is really signal-to-noise level.
Directional mikes always have a bass limit related to their size.
True pressure mikes don't, but as Victor says the day-to-day-barometric (or slam-the-trunk) pressure change is FAR greater than musical sound pressure changes. If the diaphragm is soft enough to move with the music, it will collapse in high/low baro changes, so we vent it around a few Hz.
The DC network and capsule capacitance form a high-pass, but with FETs 5Hz is normal, lower is not hard. To go a lot lower, RF techniques go to DC.
Measurement mikes are available with response below 0.01Hz and above 200KHz (not in the same capsule), if that is what you are looking for. (The super-low range mike has a stopper for the baro-vent.)