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RE: Math trivia -Reply
Better re-read your math text; I ran both equations empirically
out to n = 1000 in a spreadsheet and (1+n)**1/n approaches 1
asymptotically from above, where (1 + 1/n)**n approaches e
asymptotically from below.
Dave Neil
neildm@id.doe.gov
> -----Original Message-----
> From: ANTHONY F. ARMAGNO [SMTP:ARMAGAF@GWSMTP.NU.COM]
> Sent: Wednesday, April 15, 1998 1:36 PM
> To: Multiple recipients of list
> Subject: Re: Math trivia -Reply
>
> Dear Diane,
> Joan is correct in that e is a limit as n approaches zero, but her
> equation
> is different from the one I have in my math text, namely:
> e = limit (1+n)**1/n
> When I calculate a value of 1E-6 in my equation I get 2.718, when I
> use the
> same value in Joan's equation, I get 1.0001. Good luck.
> ----------------------------------------------------------------------
> -----------------------------------------------------------
> Anthony F. (Tony) Armagno
> Northeast Utilities Millstone Station
> Tele: (860) 437-2519
> E-Mail: armagaf@gwsmtp.nu.com
> According to Cowboy Wisdom: There's more ways to skin a cat than
> stickin' his
> head in a boot jack and jerkin' on his tail!