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DivergesDecidedly(AngouriMath.Entity)
Method (no overloads)
Summary
Whether a limit's value is infinite and was decided to be: IsInfiniteNode(AngouriMath.Entity),
but never for a value still holding a limit nobody could take.
but never for a value still holding a limit nobody could take.
Remarks
That limit is a question rather than a value, and the destination it carries is not
what it tends to:limit(sin(u), x, +oo) holds a +oo and says nothing
about diverging. l'Hopital's rule read sin(u) / cos(u) with both limits undecided as
oo/oo, differentiated it, and answered lim x->0- tan(x^2 + x - 1) with
-cos(-1) / sin(-1), 0.642, where it is tan(-1), -1.557. The rule is only true of the
forms it names, so it asks this.
they are worth trying, which are equalities wherever they apply: f^g as e^(g ln f)
holds whatever f tends to, and an undecided base is exactly where it is worth asking.
what it tends to:
about diverging. l'Hopital's rule read sin(u) / cos(u) with both limits undecided as
oo/oo, differentiated it, and answered lim x->0- tan(x^2 + x - 1) with
-cos(-1) / sin(-1), 0.642, where it is tan(-1), -1.557. The rule is only true of the
forms it names, so it asks this.
they are worth trying, which are equalities wherever they apply: f^g as e^(g ln f)
holds whatever f tends to, and an undecided base is exactly where it is worth asking.
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