X1 is sine in, amplified linear, so output is amplified sine.
X2 is pulse, operated linear, so output is amplified pulse.
X3 is sine, overdriving circuit so output starts clipping, it cannot go above or below its
power rail pins.
Gain in all 3 circuits is 11.
But frequency matters, OpAmps have finite frequency response.
They also have slew rate limitations for large signals, slew rate refers to internal
current source limitations when charging internal compensation capacitor. So
for large signals, like ~1 V or more, and fast inputs like pulses, square waves,
one observes rise and fall time at output limited by slew rate.
A SIMPLE explanation of Slew Rate. Learn what Slew Rate is, how to measure it, its formula & units, Slew Rate vs. Bandwidth & the Slew Rate of an OP amp. We also discuss ...
Many other considerations, fascinating component, probably more books and
papers on this component than any other.
Excellent reading, attached.