Question: Consider the function defined as follows 1 1(k) = for k1. k(k+1) a) Determine the partial sum Un = k=1(k). b) Calculate limn Un

$Consider the function defined as follows [ gamma(k)=frac{1}{k(k+1)} quad text { for } quad k geq 1 . ] a) Determine t$

Consider the function defined as follows 1 1(k) = for k1. k(k+1) a) Determine the partial sum Un = k=1(k). b) Calculate limn Un c) Verify that is a probability mass function. Let X be a random variable with probability mass function y. P(X = k) = (k), with k1 Determine a) the probability that the event {X = 2} occurs. c) the probability of the event (X 2}.

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Explanation To decide the fractional aggregate Unk1k we can just module the upsides of k from 1 to n ... View full answer

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