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The resistor has no effect during first part of AC analysis, the inverter is effectively operated open loop. By chance, it's biased almost to maximum gain, see DC analysis plots.The feedback resistor has a value of 1E20?
Wrong, the gain is limited by the time constant of inverter output impedance and 1 nF Cout, I guess µs range respectively some 100 kHz cut off. You still didn't plot the gain with reasonable frequency scale?Note that the RC time constant = 100G*1n = 100s , or 0.01Hz filtering.
You still didn't plot the gain with reasonable frequency scale?