03.25.08_Page_3 - Blank Section 1.2 Series 261”< so...

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Unformatted text preview: Blank: Section 1.2 Series 261” < so if {3”} is convergent (lirn Sn = S) nzl ngaw . , w 7 a Geometrlc Serles Zar” 1 = 1—, 'flrl <1 n:1 -r Zorn and 2 either both converge or diverge n:1 n=k Test for Divergence If lirn an at 0 then summation diverges Blank It means 20!” convergent 9 lim an = 0 But lim afl = 0 does not go to Earn convergent 41. 0.§=0.222=£+%=i3+m. geometric series with a=im=i 10 10 10 10 10 l 0_§=L=L=E l—r 1_i 9 20 Section 11.3 Integral Test “° 1 1 1 1 Exam 1e: Investi ate —=—+—+—+... p g ”2:1: :12 12 22 32 Let’s look at geometry 1 Consider curve y = —2 x Total area of rectangle (forget that) 612 +613 +614 +... < Laof(x)dx=foxi2dx=1 p:2 ...
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