Series, Sequence Problems with Solution - Calculus | M 408D, Assignments of Mathematics

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Test What needs to be true? Conclusions [Vanishing Term Test (1, Lion dy #0 1. The series diverges pan Integral Test 1 Za iS PEsitive 1 “Whe Serres Wehaves ‘g La {ore came ag the 6 Ow = Sa me) i ° \nkegr 3B. comtvenvous SAlra, Comparison Test | 1a. Za, and Eb, are positive series Tay diverge s 2a. Xb, diverges and a, >= b, Ib. Zan and Eb, are yoscye yy Lay converges 2b. Ti, corveraes and abn Limit Comparison Test i “La, and Fb, are pxsilive | L Zo, and Ely Vnave | 2 Lim Ow Sek 1a gost toe same Wvehavior Alternating Series Test ak series is alternating 1. Whe Series Comverse’ Lim fe, =O VA be 5 ban & by forall | 'Ratio Test Lan Ones \ =bL 1-4, ne Series com es woe FO 2, Lal, We series dinerses GB. L=1,.e Conclusion) Root Test Lin n 1 LEI, Hu scenes danverses wen \ On | =L jatvs ithe Series diverges (3. If L=1, no conclusions } Questions: What are the types of series you should recognize? Geometric y» Pr Series What test should you try first? Vanishing Term