Proof of limit?
- Thread starter seal308
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Steven G
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- Dec 30, 2014
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I will show you how to do this proof but 1st I need for you to show me that you know the definition of e.Hi,
My friend told me this was true but I don't really get why:
^n%20=%20e^x)
Could anyone explain the proof.
Thanks
Well wikipedia says it's the summation from n = 0 to infinity of 1/n!
Is that what you mean by definition?
Steven G
Elite Member
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- Dec 30, 2014
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- 14,603
e is defined to be limit as n goes to infinity of [1 + 1/n]^n = lim as n goes to infinity of [1+1/(n/x)]^[(n/x)*x] = lim as n goes to infinity of {[1+ x/n]^(n/x)}^x = e^x since e= lim as x goes to infinity of [1+1/(n/x)]^(n/x)
You really need to know, ALL THE TIME, the definition of e.