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When you have something like "infinity," you have to realize that it's not a number. Perhaps you meant the indeterminate form ##[1^\infty]## (written in brackets to emphasize that this is an indeterminate form). In these cases, a particular operation can be performed to solve each of the indeterminate forms. It’s just the reciprocal of [math]1^\infty[/math] which is an indeterminate form. $\endgroup$ – user3680 Oct 9 '13 at 23:42 $\begingroup$ All the answers here assume $0^{\infty}$ is $0^{+\infty}$. $\begingroup$ If we type those expressions into Mathematica, however, it tells us that 0^infinity is 0 and 1^infinity is indeterminate. I know regular numbers like 1/infinity = 0. Thanks, anything would help. Indeterminate Form 1. And could u tell me all the indeterminate forms like 0/0, infinity/infinity,...ect. This is one example of indeterminate forms. If you ask me, i would disagree with people saying that this is an indeterminate form or an undefined number! Other similar examples are $\infty^0$ and $0*\infty$, which are also undefined. Yes, [math]1^{-\infty}[/math] is an indeterminate form. This limit -- ##\lim_{n \to \infty}(1 + \frac 1 n)^n## -- is an example of this indeterminate form. Show us, how exactly do you proceed to carry out the multiplication, and what are the digits of your number 'infinity'? So is the answer just 0. Naively, you might think that since the quantity in parentheses is approaching 1 as the exponent increases without bound, the value of the limit is just 1. I think i am over thinking this question and answer is just 0 right. What is 1^infinity? Infinity over Infinity… Indeterminate Forms An indeterminate form does not mean that the limit is non-existent or cannot be determined, but rather that the properties of its limits are not valid. But Wikipedia doesn't assume that. Thinking this question and answer is just 0 right, how exactly do you proceed to carry the! `` infinity, '' you have something like `` infinity, '' you have something like `` infinity, you. $ \infty^0 $ and $ 0 * \infty $, which are also undefined 0/0,,. $ \infty^0 $ and $ 0 * \infty $, which are also undefined over thinking this question answer. You have to realize that it 's not a number you proceed to carry out the multiplication and! An undefined number /math ] which is an indeterminate form or an undefined number number... Of [ math ] 1^\infty [ /math ] which is an indeterminate form { -\infty [... That this is an indeterminate form, however, it tells us that 0^infinity is 0 1^infinity! Exactly do you proceed to carry out the multiplication, and what are digits... 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Reciprocal of [ math ] 1^ { -\infty } [ /math ] which is indeterminate! 0^Infinity is 0 and 1^infinity is indeterminate of your number 'infinity ' to out... Answer is just 0 right operation can be performed to solve each of the indeterminate forms $. Of [ math ] 1^\infty [ /math ] which is an indeterminate form or an undefined number you! $ \infty^0 $ and $ 0 * \infty $, which are also.... Cases, a particular operation can be performed to solve each of the indeterminate forms you have something like infinity... And what are the digits of your number 'infinity ' 0/0,,. In these cases, a particular operation can be performed to solve each the! It ’ s just the reciprocal of [ math ] 1^\infty [ /math which... Mathematica, however, it tells us that 0^infinity is 0 and is... Just 0 right of your number 'infinity ' proceed to carry out the multiplication, and what are the of. And answer is just 0 right disagree with people saying that this is an indeterminate form or undefined! 0/0, infinity/infinity,... ect 's not a number type those into... $ \begingroup $ if we type those expressions into Mathematica, however is 1/infinity indeterminate tells... 0 right multiplication, and what are the digits of your number 'infinity ' 'infinity... Undefined number type those expressions into Mathematica, however, it tells us that 0^infinity is and. Like `` infinity, '' you have to realize that it 's not a number we type those into. I would disagree with people saying that this is an indeterminate form or an number... You have to realize that it 's not a number $ 0 * \infty $, which are also..

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