Op Amp Problem

Assume the following op-amp is ideal except for having a finite gain equal to (10^7)/(s + 10) and a slew rate of 0.02V/us. The input to the amplifier is an ordinary music signal with frequency range between 10 radian/sec to 3000 radian/sec and a maximum amplitude of 1V. Do you think the input signal will pass through the amplifies without distortion? Please justify your answer with calculations.

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...ut = Vin (R2/R1 + 1), where R2 = 9K ohms and R1 = 1k ohms. Substituting:
Vout = 1V (9K/1k + 1) = 10V peak.

The maximum frequency can be calculated using ...