# Determine the boundedness and monotonicity

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• March 3rd 2010, 01:49 PM
Runty
Determine the boundedness and monotonicity
Determine the boundedness and monotonicity of the sequence with $a_n$, as indicated.

a) $\frac{n^2}{ \sqrt{n^3+1} }$

b) $\frac{(-2)^n}{n^{10}}$

Please show how you determine the boundedness and monotonicity.