ok i have this problem in the textbook where An= 3^(n+2)/5^n and i am suppose to determine whether it converges or diverges and if it convergies i have to find the limit... any ideals how to do this?
ok i have this problem in the textbook where An= 3^(n+2)/5^n and i am suppose to determine whether it converges or diverges and if it convergies i have to find the limit... any ideals how to do this?
Try re-writing your problem as
$\displaystyle A_n = \frac{3^n 3^2}{5^n} = 9 \left( \frac{3}{5} \right)^n$. To show it converges show (i) it's decreasing and (ii) bounded below by 0.