SOLUTION: Compute the sum 2/(1*2*3) + 2/(2*3*4) + 2/(3*4*5) + ...

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Question 1065476: Compute the sum
2/(1*2*3) + 2/(2*3*4) + 2/(3*4*5) + ...
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at a partial sum from 1 to k.


If we take the limit as k approaches infinity,


lim%28k-%3Einfinity%2C%28k%5E2%2B3k%29%2F%282%28k%5E2%2B3k%2B2%29%29%29=highlight%281%2F2%29