AngouriMath
ApplylHopitalRule(AngouriMath.Entity,AngouriMath.Entity.Variable,AngouriMath.Entity,AngouriMath.Core.ApproachFrom)
Method (no overloads)
Remarks
The side is carried through because the rule is stated one-sidedly to begin with --
the two-sided case is the two one-sided ones agreeing -- so it is the same rule
either way, asked of the same quotient under the same premises. Carrying it is what
lets the rule answer where the two-sided reading has nothing to say, and the two
questions the rule asks along the way are both of that kind: what the parts tend to,
and what the differentiated quotient tends to. For(1 - cos(x)) / x^3 at 0
the second of those reachessin(x) / (3x^2) , which is +oo on the right and
-oo on the left, so asking about both sides at once gives NaN and the step is
wasted. Asked one side at a time it answers.
the two-sided case is the two one-sided ones agreeing -- so it is the same rule
either way, asked of the same quotient under the same premises. Carrying it is what
lets the rule answer where the two-sided reading has nothing to say, and the two
questions the rule asks along the way are both of that kind: what the parts tend to,
and what the differentiated quotient tends to. For
the second of those reaches
-oo on the left, so asking about both sides at once gives NaN and the step is
wasted. Asked one side at a time it answers.
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