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Count blis
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2 + 9/2! + 27/3! + 81/4! + ... Sum from k = 0 to infinity of 3^k/k! -2 = exp(3) - 2
v is the speed of 0.7 c
The muon does not have a fixed lifetime, it just has a fixed probability to decy per unit time. The mean lifetime of the muon is 2.197 micro seconds in the rest frame of the muon. Suppose that the muon decays after T = 2.197 microseconds in its rest frame.