AngouriMath
EquivalenceRules(AngouriMath.Entity,AngouriMath.Entity.Variable,AngouriMath.Entity)
Method (no overloads)
Summary
A vanishing function written as the vanishing argument it is equivalent to, where
that argument is what vanishes.sin(u) / u , tan(u) / u ,
arcsin(u) / u and arctan(u) / u all tend to 1 as u tends to 0, so one
may be written for the other in a product or a quotient without changing its limit.
that argument is what vanishes.
may be written for the other in a product or a quotient without changing its limit.
Remarks
The argument's own limit is what the equivalence needs, not the function's. sin(x)
vanishes at pi as surely as at 0 and is not equivalent to x there -- it is equivalent
to pi - x -- so rewriting it as x turnedlim x->pi sin(x) / (x - pi) , which
is -1, into pi / 0.
vanishes at pi as surely as at 0 and is not equivalent to x there -- it is equivalent
to pi - x -- so rewriting it as x turned
is -1, into pi / 0.
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