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#344 Tube Plots ←	↑	→ #346 Returns formal integration sign for (1 + tan(x))^(1/3), which is elementary

#345 fails to compute some simple limits

Edit detail for #345 fails to compute some simple limits revision 1 of 5

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Editor: Time: 2007/11/17 22:30:32 GMT-8
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On March 25, 2007 11:54 AM Ondrej Certik asked:
 
... how can I calculate the limit of:
 
$$(3**x+5**x)**(1/x)$$
 
for $x \rightarrow +\infty$?

The result is 5 as you can check by hand:
 
$$(3**x+5**x)**(1/x) = 5 * ((3/5)**x+1)**(1/x) \rightarrow 5$$
 
When I tried that in axiom:
\begin{axiom}
limit((3**x+5**x)**(1/x), x=%plusInfinity)
\end{axiom}
 
or the equivalent problem:
 
\begin{axiom}
limit((3**(1/x)+5**(1/x))**(x), x=0, "right")
\end{axiom}

I got "failed".

On March 25, 2007 11:54 AM Ondrej Certik asked:

... how can I calculate the limit of:

for ?

The result is 5 as you can check by hand:

When I tried that in axiom:

axiom
limit((3**x+5**x)**(1/x), x=%plusInfinity)

(1)

Type: Union("failed",...)

or the equivalent problem:

axiom
limit((3**(1/x)+5**(1/x))**(x), x=0, "right")

(2)

Type: Union("failed",...)

I got "failed".