Telescoping Sum - Calculus - Solved Quiz, Exercises of Calculus

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name: GoLuTlens Math 105 - Take-Home Quiz 8 - Due March 24, 2008 Instructions: You may discuss these problems with classmates, tutors, or your professor. Your write-up, however, must be your own. Work on other paper will not be accepted. Try the problems on scrap paper, and then put your final work on this sheet. Your work should be clear, easy to follow, and without cross-outs. oa 2 1. (5 pts.) Using a telescoping sum to evaluate the following series exactly: ~ aTaErY nmi Vt Po 2 AB 5 Qe Alay + BEN. ne Q-AAso AFI “ ad nlna2y We-2> gs OA-~2B5 Be-l & 9 cL 6 a+ Sak ray nlwary net We® " = 2 f ; a : — Inm 2. (5 pts.) Decide whether the following series converges or diverges: S —,- State the name of the m=3 test that you use. Leclezrak test fte= lax Fn) iy Gerhanens and clecreesing oy G,o) : Poy = Peas) 3 3 ta Ly\\el ( (ate 4, 1)) ted, jaw ae rg ge att! /- «3 Oo + i GF mS — f Cine [Se tle S, cxunts | Pe