AngouriMath
SolveAsBoundedTimesVanishing(AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
The squeeze theorem, in the one shape that does not need the bounded factor's own
limit: a factor bounded near the destination times one that vanishes there tends to
zero, however wildly the bounded one oscillates. Also written as a quotient, where a
bounded dividend over a diverging divisor is the same statement.
limit: a factor bounded near the destination times one that vanishes there tends to
zero, however wildly the bounded one oscillates. Also written as a quotient, where a
bounded dividend over a diverging divisor is the same statement.
Remarks
Every other rule reads a limit as a value -- the descent puts each part's own limit in
place of the part, l'Hopital's rule wants a determinate quotient, Gruntz compares rates
of growth.sin(x) has no limit at infinity, so each of them correctly declines
and the product is left indeterminate in the shape(no limit) * 0 . What the
theorem needs of the factor is not its limit but its boundedness, which is a weaker
fact and one that can be read off the shape --
https://github.com/asc-community/AngouriMath/issues/723.
place of the part, l'Hopital's rule wants a determinate quotient, Gruntz compares rates
of growth.
and the product is left indeterminate in the shape
theorem needs of the factor is not its limit but its boundedness, which is a weaker
fact and one that can be read off the shape --
https://github.com/asc-community/AngouriMath/issues/723.
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