Calculus II MAC 2312
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This 1 page Class Notes was uploaded by Mozell Veum on Monday October 12, 2015. The Class Notes belongs to MAC 2312 at Florida International University taught by Michael Rosenthal in Fall. Since its upload, it has received 13 views. For similar materials see /class/221709/mac-2312-florida-international-university in Calculus and Pre Calculus at Florida International University.
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Date Created: 10/12/15
Is Zuk geometric Is Zuk telescoping Does Zuk have all positive terms iNo absolutely if Use ratio test for absolute convergence Converges lim 167 lt 1 ltYies contain factorials kgtoo uk Mor exponential inctions Drverges 1f u 11m 1 gt 1or co kgtoo u Does Zuk Yes Drverges by drvergence test i Converges Yes vl by alternating series test l Are absolute es of terms nonincreasing Is Zuk alternating No LNO Consider 2 uk andjump to If converges then 2 uk is absolutely convergent If diverges then Zuk is conditionally convergent Consider Z luk andjump to If 2 luk converges then 2 uk is bsolutely convergent If 2 uk iverges then 2 uk is either conditionally convergent or divergent You shouldn t have any HW problems f the 2 type Yes 4 Converges is Diverges if r S lor r 2 1 Yes 4 Write Sn in closed form Converges if lim S n exists ngt 0 Diverges if lim Sn d ne ngt 0 Yes 4r Is Zuk a p series LNO Does 2 uk contain factorials 84 or exponential inctions LNO Is lim uk 0 keno 1N0 Let x be the inction that results When k is replaced by x in the formula for uk Is f decreasing and continuous for x 2 Land doyou know I f xdx Yes 4 Converges if p gt1 Diverges if Yes 4 Use ratio test Converges if 1 1H1 Diverges if 1H1 lt1 gt1oroo Use i Yes If converges so does series If integral diverges so does ntegral test integral series