$774$

CHAPTER $11$ Sequences, Series, and Power Series

Decide if the followings converge or diverge.

$29.a_n=\frac{4n^2-3n}{2n^2+1}$

$30.a_n=\frac{4n^2-3n}{2n+1}$

$31.a_n=\frac{n^4}{n^3-2n}$

$32.a_n=2+(0\mathrm{.}86{)}^n$

$33.a_n=3^n{7}^{-n}$

$34.a_n=\frac{3\sqrt[\phantom{2}]{n}}{\sqrt[\phantom{2}]{n}+2}$

$35.a_n=e^{-\frac{1}{\sqrt[\phantom{2}]{n}}}$

$36.a_n=\frac{4^n}{1+9^n}$

$37.a_n=\sqrt[\phantom{2}]{\frac{1+4n^2}{1+n^2}}$

$38.a_n=cos(\frac{n}{n+1})$

$39.a_n=\frac{n^2}{\sqrt[\phantom{2}]{n^3+4n}}$

$40.a_n=e^{2\frac{n}{n+2}}$

$41.a_n=\frac{(-1{)}^n}{2\sqrt[\phantom{2}]{n}}$

$42.a_n=\frac{(-1{)}^{n+1}n}{n+\sqrt[\phantom{2}]{n}}$

$43.\{\frac{(2n-1)!}{(2n+1)!}\}$

$44.\{\frac{ln(n)}{ln(2n)}\}$

$45.\{sinn\}$

$46.a_n=\frac{ta{n}^{-1}n}{n}$

$47.\{n^2{e}^{-n}\}$

$48.$