Saturday, 12 October 2013

many zeroes


  • How many zeroes does 6250! end with?
  • If n! has exactly 20 zeroes at the end, find n. how many such n are there?
  • find n! that ends with exactly 497 zeroes.
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Define f:R→R by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \ 0, ...