alex <savthegood at gmail.com> writes:
> Dear all,
>
> I tried using limits in maxima and was surprised. I mean look e.g. at
> following result:
>
> (%i5) limit(1/x^(83/100),x,minf);
> (%o5) 0
>
>
> Can please anyone explain me why it's 0? I suspect I'm doing somthing
> wrong, but I cant figure out what is wrong.
Suppose x = -y with y > 0. Then there are 100 complex roots of x and
each of them has absolute value equal to y^(1/100). Raising to the power
83, you see that (whichever root I take)
abs (x^(83/100)) = y^(83/100).
Now, let y go to positive infinity and you see that
limit(1/x^(83/100),x,minf)
is indeed zero.
Rupert
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