For each positive integer n, let sn=31.2.4+42.3.5+53.4.6+……+n+2n(n – InterviewSolution

1.	For each positive integer n, let sn=31.2.4+42.3.5+53.4.6+……+n+2n(n+1)(n+3). Then limn→∞sn equals
Answer» For each positive integer n, let $s_{n} = \frac{3}{1.2.4} + \frac{4}{2.3.5} + \frac{5}{3.4.6} + \dots \dots + \frac{n + 2}{n (n + 1) (n + 3)}$ . Then $l i m n \to \infty s_{n}$ equals

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