Tough and Tricky questions: Decimals.
If x is a positive integer, what is the value of x?
(1) The first nonzero digit in the decimal expansion of \frac{1}{x!} is in the hundredths place.
(2) The first nonzero digit in the decimal expansion of \frac{1}{(x+1)!} is in the thousandths place.
Kudos for a correct solution.