Problem 47078. Sum of infinite series.

A series T(k,x,n), whose k-th term is given b:
T(k,x,n) = (x^k)* [ n*(n-1)*....(n-k+1)]/ [k*(k-1).....1] and T(0,x,n) = 1
Find the sum S = sum(T(k,x,n)) for k = 0 to inf.
x will greater than -1 and n will be negative.
Hint: Try binomial expansion or something like binomial compression.

Solution Stats

76.0% Correct | 24.0% Incorrect
Last Solution submitted on Apr 15, 2023

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