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Determine whether the given sequence $\{a_n\}$ is convergent by deciding on monotonicity and boundness. Explain your answer.

$\{a_n\}=\frac{n+1}{2n+1}$

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    Are you having trouble determining whether the sequence is monotonic? Determining whether the sequence is bounded? Showing that monotonic bounded sequences are convergent? What sort of trouble is it?2012-09-22

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Your best bet is to express $a_n = A + \dfrac{B}{2n+1}$ In this way you can prove boundedness and monotonicity.

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    And even the limit!2012-09-22