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analog switch puzzlement

Other Parts Discussed in Thread: TS5A3357

Hi,

I encountered an simple  PGA circuit using TS5A3357 while looking for a suitbale signal switch.Please look at the following picture below

As i know ,TS5A3357 is a single supplied analog switch and  its analog signal range is 0V to +V without negative swing capability.In the circuit,an AC sine wave as input is amplified.So a negative swing  do appear on  one of the pins of TS5A3357.

Is this application reasonable in thoery,and why?