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Math Help - need help on this sequence problem

  1. #1
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    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?
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    Quote Originally Posted by twilightstr View Post
    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
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  3. #3
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    is the sequence bounded above -3/4
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  4. #4
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    Quote Originally Posted by twilightstr View Post
    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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