Sunday 29 February 2004 at 12:48 pm | In Articles | Post Comment
  1. Why is 0! = 1 ?
  2. By looking at \displaystyle\lim_{x\to 0}0^x and at \displaystyle\lim_{x\to 0}x^0 what can you say about 0^0 ?
  3. Can \sqrt[0]{x} (the zeroth root of x) be defined? If so, how; if not, why?
  4. Criticise the following ‘proof’: If n\in\mathbb{Z} then \displaystyle\lim_{n\to 0}\frac{n}{n}=\frac{\displaystyle\lim_{n\to 0}n}{\displaystyle\lim_{n\to 0}n}=\frac{0}{0}=1

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