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Unformatted text preview: some number, the sums will converge (to some number less than L, it could be L but it is typically not this limit as our limit substantially less than the integral we found on the right).
But we know it will converge to some number (it will not oscillate or go to infinity) Integrals that Diverge?
If our integral diverges, then we will show that the series must also diverge. Again we will assume that the function is decreasing, positive, and continuous. We will over approximate the sum by considering: This means that a1 = f(1), a2 = f(2) …
n 1 This means that addin...
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This note was uploaded on 02/07/2014 for the course MATH 1004 taught by Professor Mark during the Summer '00 term at Carleton CA.
 Summer '00
 Mark
 Calculus, Integrals, SmartPen Lectures, Lecture Notes, MATH1004, Kyle Harvey

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