Discussion
What happens to the analysis if the input is raised to fifty millivolts?
Answer: C
At twice the thermal voltage the exponential curvature is plainly significant and the output acquires substantial harmonic content, so the small-signal model no longer predicts the waveform. The gain does not rise usefully, the capacitors are unaffected by amplitude, and the input impedance change is a second-order effect. Knowing where a model stops being valid is more useful than knowing the model, because that boundary is where real circuits get designed.
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