Using "×" word in html changes to × Asked 12 years, 10 months ago Modified 2 years, 2 months ago Viewed 246k times
Someone recently asked me why a negative $\times$ a negative is positive, and why a negative $\times$ a positive is negative, etc. I went ahead and gave them a proof by contradiction like this: As...
Your title says something else than "infinity times zero". It says "infinity to the zeroth power". It is also an indefinite form because $$\infty^0 = \exp (0\log \infty) $$ but $\log\infty=\infty$, so the argument of the exponential is the indeterminate form "zero times infinity" discussed at the beginning.
I'd even start with 0.5 times 3.5 -- it feels normal to add 0.5 to itself 3 times, then not-too-bad to add it once more 1/2 a time. That establishes "add 1/2 a time" is fine and fits the repeated-addition pattern.
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