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Homework Statement
Calculate lim (n!)1/nHomework Equations
The Attempt at a Solution
Call the limit L.
lim ln(n!)1/n = ln L
ln(n!)1/n = [itex]\frac{1}{n}[/itex]ln(n!) = [itex]\frac{1}{n}[/itex](ln(1) + ln(2) + ... + ln(n)) = [itex]\infty[/itex]/n. So the limit is [itex]\infty[/itex]/0? Which makes L what?
This is for Analysis and we haven't got to series yet and I took calc II eight years ago.