Let where and

for n in naturals

Find the limit of Hint: One upper bound of the sequence is

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- March 21st 2010, 07:19 PMfizzle45Find Limit of a Function
Let where and

for n in naturals

Find the limit of Hint: One upper bound of the sequence is - March 21st 2010, 07:38 PMFocus
- March 21st 2010, 07:41 PMtonio

The ACTUAL fact us that ...the sum is infinite, and either one defines the number e that way, or else defines some other way and proves the above sum is e. Anyway, any decent calculus book must include a discussion on this. For example, Apostol's "Calculus I" has several interesting parts on the number e, including its definition as that number x for which .

Tonio - March 21st 2010, 08:14 PMchiph588@
- March 22nd 2010, 03:58 AMkompikCauchy sequence