- #1
stufletcher
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Homework Statement
excuse my formatting.
compare
sum(from n=2 -> infinity) of 5/(n^1.1)
to
integral (from 1 -> infinity) of 5/(x^1.1)
Homework Equations
The Attempt at a Solution
if it was sum and integrate from 2 it would be easy... the sum is a rienmann sum using right endpoints and delta-x of 1, and it's error will always be larger than it's integral on a decreasing curve.
however because the function is decreasing, and the integral starts at 1, not 2, i think i have to calculate the size of the error of the rienmann compared to it's integral from 2 -> infinity, and compare that to the integral from 1 ->2.
maybe I'm just having a brain coniption, but i can't seem to sum either the rienmann or the integral from 2 -> infinity... anyone have any suggestions?
thanks
stu