Mathematical induction null sequence

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teng125
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Show that the sequence given by An = n/2^n is a null sequence..

Hint: We have proved by mathematical induction that2^n >or equal n^2, n> or equal 5...

pls help...
 
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show that the limit n/2^n approaches 0...or that 2^n >>>> n as n goes to infinity...you know 2^n>=n^2 given above...now what can you show iwth n,n^2
 
which means n is small and 2^n is much bigger so if they are divided then the answer is appro zero??