>>>>> "Jaroslaw" == aw Piskorski <Jaros> writes:
Jaroslaw> Hi all!
Jaroslaw> Maxima seems to be unable to calculate the following limit with the "limit"
Jaroslaw> function
Jaroslaw> limit(7^n/8^n,n,inf);
Jaroslaw> and returns the limit unevaluated.
Jaroslaw> If I use the "tlimit" function I get the correct result
Jaroslaw> limit(7^n/8^n,n,inf);
Jaroslaw> 0
Jaroslaw> but if the same function is used on the following limit, an incorrect answer
Jaroslaw> is returned
Jaroslaw> tlimit(7^(n^2)/8^n,n,inf)
Jaroslaw> minf
FWIW, if we replace both of these by writing them in exponential form,
the limits are computed correctly:
limit(%e^(n*log(7))/%e^(n*log(8)),n,inf) => 0
limit(%e^(n*n*log(7))/%e^(n*log(8)),n,inf) => INF
That might be a useful general heuristic to try.
Ray