Is there a statute of limitations for the government to audit your taxes.

I believe it's 2 years.

For assessment of tax you owe, this generally is 3 years from the date you filed the return or the due date of the return, which ever is later.

If you did not report income that you should have reported on your return, and it is more than 25% of the income shown on the return, the period of limitations does not run out until 6 years after you filed the return.
If a return is false or fraudulent with intent to evade tax, or if no return is filed, an action can generally be brought at any time.

Agreed!

Concise and precise answer from MukatA.

MukatA has that annoying habit of being both concise and precise! :-)