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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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    Since you are new to this site, please consider reading this: [How to ask a homework question?](http://meta.math.stackexchange.com/questions/1803/how-to-ask-a-homework-question) I wrote this comment because the question sounds homework-like.2012-09-22
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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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