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## Homework Statement

The Q: Use your calculator to work out ln 15!

Compare the answer with the simple version of Sterling's theorem (ln n! = nln n - n)

How big must n be for the simple version of Stirling's theorem to be correct to within 2%?

## Homework Equations

## The Attempt at a Solution

So I've done the first two parts.

But for the last I get that (ln n! - nln n + n)/ln n! < 0.02 which I don't know how to solve for n...

any ideas?

thanks!