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[Axiom-mail] limits
From: |
Ondrej Certik |
Subject: |
[Axiom-mail] limits |
Date: |
Sun, 25 Mar 2007 17:53:54 +0200 |
Hi,
I am sorry for this stupid question - but how can I calculate the limit of:
(3**x+5**x)**(1/x)
for x->+infinity? The result is 5 as you can check by hand:
(3**x+5**x)**(1/x) = 5 * ((3/5)**x+1)**(1/x) -> 5
When I tried that in axiom:
limit((3**x+5**x)**(1/x), x=%+infinity)
or the equivalent problem:
limit((3**(1/x)+5**(1/x))**(x), x=0, "right")
I got "failed".
Also, this works correctly:
simplify(2**x * 2**(2*x))
simplifies to 2**(3x)
but this doesn't simplify at all:
simplify(2**(5*x)/2**(4*x))
Thanks,
Ondrej
- [Axiom-mail] limits,
Ondrej Certik <=