Let 
. Then 
, and so as 
, you have 
. The limit is then equivalent to
Suppose you have two six-sided dice where each side is equally likely to land face up when rolled.
2 answers:
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Compound interest:
where
is the amount you start with, 
is the interest rate, 
is the number of times interest is compounded per year, and 
is amount of time that passes.
where