CAS bug: limit of (1+1/n)^n
04-15-2014, 08:41 PM
Post: #7
 Han Senior Member Posts: 1,882 Joined: Dec 2013
RE: CAS bug: limit of (1+1/n)^n
The extra parentheses are needed to prevent ambiguity between:

$\lim_{n\to \infty} (1+1/n)^n = \left( \lim_{n\to \infty} (1+1/n) \right)^n = 1^n = 1$

and

$\lim_{n\to \infty} (1+1/n)^n = \lim_{n\to \infty} \left( (1+1/n)^n \right) = e$

Should the limit operator have precedence over exponentiation? or the other way around? To remove any doubt what you intended to compute, use the extra parentheses. (More reason for the devs to get RPN into a better state :-)

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 Messages In This Thread CAS bug: limit of (1+1/n)^n - Steve Keeley - 04-15-2014, 03:50 AM RE: CAS bug: limit of (1+1/n)^n - Angus - 04-15-2014, 05:49 AM RE: CAS bug: limit of (1+1/n)^n - Joe Horn - 04-15-2014, 08:32 AM RE: CAS bug: limit of (1+1/n)^n - Steve Keeley - 04-15-2014, 08:41 AM RE: CAS bug: limit of (1+1/n)^n - Tugdual - 04-15-2014, 08:34 PM RE: CAS bug: limit of (1+1/n)^n - jebem - 04-15-2014, 08:47 AM RE: CAS bug: limit of (1+1/n)^n - Han - 04-15-2014 08:41 PM

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