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Nov 24th, 2017
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  1. lim_N->inf ballCount(N) = lim_N->inf sum_(n=1)^(n<=10*N) P(n,N)
  2. broken step here -> = lim_N->inf sum_(n=1)^(n<=10*N) lim_N->inf P(n,N)
  3. = lim_N->inf sum_(n=1)^(n<=10*N) P(n)
  4. = lim_N->inf sum_(n=1)^(n<=10*N) 0
  5. = lim_N->inf 10*N*0
  6. = 0
  7.  
  8. lim_N->inf ballCount(N) = lim_N->inf sum_(n=1)^(n<=10*N) P(n,N)
  9. = lim_N->inf 9*N
  10. = inf
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