I need find a Telescopic or Geometric Series but I dont know how do that. I tried everything but nothing work. help me please
∞∑n=12n(n+1)!
Answer
We have ∞∑n=12n(n+1)!=2∞∑n=1(n+1)−1(n+1)!=2∞∑n=1(1n!−1(n+1)!)
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