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ExtractRadicalGrowth(AngouriMath.Entity,AngouriMath.Entity.Variable)

Method (no overloads)

Summary

The whole expression with every root of a polynomial rewritten so that its growth is
a factor of its own -- sqrt(x^2 + x) becomes x * sqrt(1 + 1/x) -- or
null if it has no such root. Every solver reads a polynomial or a
substitution of +oo, and neither can say anything about a root of a sum, so
lim x -> +oo sqrt(x^2 + x) / x was left unevaluated while the rewritten
sqrt(1 + 1/x) is settled by substitution alone.

Remarks

P = x^d * (P / x^d), and (uv)^r = u^r v^r needs u to be positive,
which x^d is for every x past some point on the way to +oo. That is the only
direction this is used in: a destination of -oo has already been turned into +oo by
substituting -x for x before any of this runs.

AngouriMath

Table of contents

AngouriMath

ExtractRadicalGrowth​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable)

ExtractRadicalGrowth(AngouriMath.Entity,AngouriMath.Entity.Variable)