Find largest term of the sequence?

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• May 21st 2009, 09:24 PM
fardeen_gen
Find largest term of the sequence?
Find the largest term of the sequence whose $n^{th}$ term is given by:

$t_n = \frac{n^2}{n^3 + 5}$
• May 22nd 2009, 05:50 AM
mr fantastic
Quote:

Originally Posted by fardeen_gen
Find the largest term of the sequence whose $n^{th}$ term is given by:

$t_n = \frac{n^2}{n^3 + 5}$

The maximum value of $f(x) = \frac{x^2}{x^3 + 5}$ occurs when $x = \sqrt[3]{10}$.

So which is bigger: $\frac{4}{13}$ or $\frac{9}{32}$?