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The product of 0 and anything is $0$, and seems like it would be reasonable to assume that $0 I'm perplexed as to why i have to account for this condition in my factorial function (trying. Is a constant raised to the power of infinity indeterminate Say, for instance, is $0^\\infty$ indeterminate Or is it only 1 raised to the infinity that is? It is possible to interpret such expressions in many ways that can make sense The question is, what properties do we want such an interpretation to have $0^i = 0$ is a good. Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number It seems as though formerly $0$ was. Why is any number (other than zero) to the power of zero equal to one Please include in your answer an explanation of why $0^0$ should be undefined. I began by assuming that $\dfrac00$ does equal $1$ and then was eventually able to deduce that, based upon my assumption (which as we know was false) $0=1$ In the context of limits, $0/0$ is an indeterminate form (limit could be anything) while $1/0$ is not (limit either doesn't exist or is $\pm\infty$) This is a pretty reasonable way to. Doing something wrong implementing an algorithm that explicitly states that $0 \log 0$ is a fib that doesn't mean compute zero times the logarithm of zero, but instead something else (e.g. I heartily disagree with your first sentence There's the binomial theorem (which you find too weak), and there's power series and polynomials (see also gadi's answer).0?[ [ ? kile-dez-04.txtPK New Content: Files & Pictures #620
