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Problems > The Maine Page > 2002

Euler's Number

By definition, Euler's number (e) is the limit as n increases without bound of
(1+
1
n
)n, or the limit as v approaches 0 from the positive direction of (1+v)
1
v
, approximately 2.71828182846.



What is the limit, as n increases without bound, of (1+
2
n
)n? Derive your solution without the tools of Calculus.


View the solution
Thanks, Soroban
Easy as 2, 3, 4

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