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    Lim of P(n)/(a^n) = 0

    1. Consider the sequence xn=nabn, where a is a natural number and b is a real number with 0<b<1. Show that the sequence converges to zero. Conclude from here that lim P(n)/cn=0, where P is a polynomial function and c>1. 2. I am not sure how to show that the sequence converges to zero...
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