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- lim_N->inf ballCount(N) = lim_N->inf sum_(n=1)^(n<=10*N) P(n,N)
- broken step here -> = lim_N->inf sum_(n=1)^(n<=10*N) lim_N->inf P(n,N)
- = lim_N->inf sum_(n=1)^(n<=10*N) P(n)
- = lim_N->inf sum_(n=1)^(n<=10*N) 0
- = lim_N->inf 10*N*0
- = 0
- lim_N->inf ballCount(N) = lim_N->inf sum_(n=1)^(n<=10*N) P(n,N)
- = lim_N->inf 9*N
- = inf
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