Find the largest term of the sequence whose $\displaystyle n^{th}$ term is given by: $\displaystyle t_n = \frac{n^2}{n^3 + 5}$
Follow Math Help Forum on Facebook and Google+
Originally Posted by fardeen_gen Find the largest term of the sequence whose $\displaystyle n^{th}$ term is given by: $\displaystyle t_n = \frac{n^2}{n^3 + 5}$ The maximum value of $\displaystyle f(x) = \frac{x^2}{x^3 + 5}$ occurs when $\displaystyle x = \sqrt[3]{10}$. So which is bigger: $\displaystyle \frac{4}{13}$ or $\displaystyle \frac{9}{32}$?
View Tag Cloud