Define the sequence {Sn} by Sn= [ 1 / (2)(1) ] + [ 1 / (3)(2) ] + ............. + [ 1 / (n+1)(n) ] Prove that Limn→∞ Sn = 1.
Define the sequence {Sn} by Sn= [ 1 / (2)(1) ] + [ 1 / (3)(2) ] + ............. + [ 1 / (n+1)(n) ] Prove that Limn→∞ Sn = 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 34E
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Define the sequence {Sn} by
Sn= [ 1 / (2)(1) ] + [ 1 / (3)(2) ] + ............. + [ 1 / (n+1)(n) ]
Prove that Limn→∞ Sn = 1.
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