On Fri, 08 Nov 2013 at 01:03PM -0800, kcrisman wrote: > Note the "und" - undefined. Maxima is probably noticing the (-1)^n piece...
I'm not sure it's the (-1)^n. I tried using cos(pi*n) instead and still
get "und":
sage: n = var('n')
sage: assume(n>0)
sage: series = -(3*n^2 + 1)*cos(pi*n)/sqrt(n^5 + 8*n^3 + 8)
sage: limit(series, n=infinity)
6/5*pi*und + 2/5*und
But observe:
sage: series = -(1)*cos(pi*n)/sqrt(n^5 + 8*n^3 + 8)
sage: limit(series, n=infinity)
0
(It also works with (-1)^n.)
It looks like Maxima is actually getting confused by the n^2 in the
denominator. Not sure what it's doing to find the limit.
Dan
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--- Dan Drake
----- www.math.wisc.edu/~ddrake/
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