The sequence An = 1/(n + 1) + 1/(n + 2) +...+ 1/(2n) has a limit.
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Notice that your sum has n amount of terms, and so .
Now show that it's monotonic, and you're finished.
Thanks allot for your help.
Would it not be <=?
you're working for so everything is positive.
Really I was referring to the <= n/2n = 1/2. This still holds though?
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