📜  门| GATE-CS-2005 |第 50 题

📅  最后修改于: 2021-09-27 05:27:39             🧑  作者: Mango

令 G(x) = 1/(1 – x) 2 = GATECS2005Q50 ,哪里| × | < 1. g(i) 是什么?
(A)
(B) i+1
(C) 2i
(D) 2 i答案:(乙)
解释: B 是正确选项。让我们把价值观

S = 1 + 2x + 3x2 + 4x3 + ..........
Sx =    x  + 2x2 + 3x3 + ..........  
S - Sx = 1 + x + x2 + x3 + ....
S - Sx = 1/(1 - x) [sum of infinite GP series with ratio < 1 is a/(1-r)]
S = 1/(1 - x)2 

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