Analysis help. Let An = 1/(n+1) + 1/(n+2) + ... + 1/(2n), n belonging to the Natural Numbers.?

Let An = 1/(n+1) + 1/(n+2) + ... + 1/(2n), n belonging to the Natural Numbers.

a.) Show that {An} from 1 to infinity is increasing.
b.) Is {An} from 1 to infinity convergent? If so why, if not why?
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