X=1/1001 + 1/1002 + ........ + 1/3001 then..
a) X<1
b) X>3/2
c) 1<X<3/2
d) None of the above
Since you ask I would have to give you the error term as well.
Consider the function on the interval where is an integer.
Then, approximating by Riemann sums,
Thus, .
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