Indeterminate form: Difference between revisions

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\sqrt[0]{1}=1^{1/0}=1^\infty etc. Note also that the seven expressions in this version are those given in the source https://mathworld.wolfram.com/Indeterminate.html so please add a source if you want to add others
Not sure this should be here. Simplify example by user:Lambiam
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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.
For example, <math>0/0</math> which arises from substituting <math>0~</math> for <math>x</math> in the equation <math>f(x)=|x|/(|x-1|-1)</math> is not an indeterminate form since this expression is not made in the determination of a limit (it is in fact undefined as [[division by zero]]).
Another example is the expression <math>0^0</math>. Whether this expression is left undefined, or is defined to equal <math>1</math>, depends on the field of application and may vary between authors. For more, see the article [[Zero to the power of zero]]. Note that <math>0^\infty</math> and other expressions involving infinity [[#Expressions that are not indeterminate forms|are not indeterminate forms]].