AngouriMath
DivergesInMagnitude(AngouriMath.Entity,AngouriMath.Entity.Variable,AngouriMath.Entity)
Method (no overloads)
Summary
Whether the exponent grows without bound, which is all the second remarkable
limit needs.
limit needs.
Remarks
Asking only for the two-sided limit is not enough: at x -> 0 the
exponent1/x tends to -oo on the left and +oo on the right, so the
two-sided limit does not exist even though the magnitude diverges. That made
lim x->0 (1 + x)^(1/x) answer 1 rather than e. Both one-sided
limits diverging is enough, because the rewrite below only uses the product
g(x) * (f(x) - 1) , which is well defined from either side.
exponent
two-sided limit does not exist even though the magnitude diverges. That made
limits diverging is enough, because the rewrite below only uses the product
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