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?
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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 $\displaystyle a_n = \frac {2n - 3}{3n + 4}$ as opposed to $\displaystyle a_n = \frac {2n - 3}{3n} + 4$ ?? 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
is the sequence bounded above -3/4
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.
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