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op amp simulation question

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liletian

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Hi Guys
I simulated a op amp feedback circuit as attached, it is wired the output has DC offset of 0.004 voltage, can anyone explain it? The input is a Vsin of 2Ghz without dc offset in the negative input, the positive input is connect to ground, I will expect there has no output DC offset. Can anyone explain it? please see the attachment. The op amp is an ideal op amp with gain of 1e10.
Thank you
 

No dc feedback. The output can be anything.
 

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