C0900TextPages_page_26

C0900TextPages | page 26 | https://thedailydialectics.com/pdfs/education/C0900TextPages/C0900TextPages.pdf

C0900TextPages | page 26 | https://thedailydialectics.com/pdfs/education/C0900TextPages/C0900TextPages.pdf

618 CHAPTER 9 Infinite Series EXAMPLE | Using the Integral Test n Apply the Integral Test to the series > PEL n=l Solution The function f(x) = x/(x? + 1) is positive and continuous for x > 1. To determine whether f is decreasing, find the derivative. _ (x? + 1)() = x(2x) =x? +1 tip G+ IP fx) So,…

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