# Math Help - need help on this sequence problem

1. ## need help on this sequence problem

An= (2n-3)/3n +4 is the sequence increasing or decreasing or not monotonic is the sequence bounded? what is the upper and lower bound?

2. Originally Posted by twilightstr
An= (2n-3)/3n +4 is the sequence increasing or decreasing or not monotonic is the sequence bounded? what is the upper and lower bound?
i suppose you mean $a_n = \frac {2n - 3}{3n + 4}$ as opposed to $a_n = \frac {2n - 3}{3n} + 4$ ??

to see if it's bounded, find the limit as n goes to infinity

to tell how it increases/decreases, consider the derivative for nonnegative n

3. is the sequence bounded above -3/4

4. Originally Posted by twilightstr
is the sequence bounded above -3/4
No, it's bounded below by -3/4. To find it's l.u.b. you must, as has already been implied, consider the limit n --> +oo.