I'm completely clueless on this one.
I can easily calculate the limit using L'Hopital's rule, but proving that the series is converging to 0 is far more tricky.
an=n2n
Any help?
Answer
Using the fact that 2n>n2 for n>4, we have: 0≤an<nn2=1n.
Hence, limn→∞an=0.
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