Question: 1*(1-(1/n)) * (1-(2/n)) * (1 -( 3/n)) * ... * (1- (k-1)/n) how is above statement is

1*(1-(1/n)) * (1-(2/n)) * (1 -( 3/n)) * ... * (1- (k-1)/n)

how is above statement is <= e^ (k(1-k)/2n) ?

Can you tell me step by step and name of formula used?

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