Revision as of 07:14, 22 July 2023 edit DesolateReality (talk \| contribs) Extended confirmed users 712 edits No edit summary ← Previous edit		Revision as of 07:15, 22 July 2023 edit undo DesolateReality (talk \| contribs) Extended confirmed users 712 edits I delete the paragraph which is false. For example, 1/x diverges as x -> 0, and is of the indeterminate form 1/0, but neither diverges to infinity nor negative infinity. In such situations, extra information such at 1/0^+ = \infty are required. Next edit →
Line 11: {{block indent\|<math> \lim_{x \to c} \frac{f(x)}{g(x)} .</math>}} Not every undefined algebraic expression corresponds to an indeterminate form.<ref name=":3">{{Cite web\|url=https://www.cut-the-knot.org/blue/GhostCity.shtml\|title=Undefined vs Indeterminate in Mathematics\|website=www.cut-the-knot.org\|access-date=2019-12-02}}</ref> For example, the expression <math>1/0</math> is undefined as a [[real number]] but does not correspond to an indeterminate form; any defined limit that gives rise to this form will diverge to infinity. An expression that arises by ways other than applying the algebraic limit theorem may have the same form of an indeterminate form. However it is not appropriate to call an expression "indeterminate form" if the expression is made outside the context of determining limits.

Indeterminate form: Difference between revisions