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Submitted by : (unknown) at: 2007-11-17T22:30:32-08:00 (10 years ago)
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On March 25, 2007 11:54 AM Ondrej Certik asked:

... how can I calculate the limit:

\lim_{x \rightarrow +\infty}(3^x+5^x)^{1/x} 

The result is 5 as you can check by hand:

(3^x+5^x)^{1/x} = 5 <em> ((3/5)^x+1)^{1/x} \rightarrow 5 

When I tried that in axiom:

fricas
limit((3^x+5^x)^(1/x), x=%plusInfinity)

\label{eq1}5(1)
Type: Union(OrderedCompletion?(Expression(Integer)),...)

or the equivalent problem:

fricas
limit((3^(1/x)+5^(1/x))^(x), x=0, "right")

\label{eq2}5(2)
Type: Union(OrderedCompletion?(Expression(Integer)),...)

I got "failed".

Now it works.

Category: Axiom Mathematics => Axiom Library

See also #297

Status: open => closed




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