Question

1. Finish the table Convergent/ Divergent What Test Show your work Š(+1)*** ? hr n!

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Answer 1

ANSWER:

decreasing Consider an = n²-1 sany is a 3+2 Sequence which converges to D. no no n3+2 Divide with ² Ito So, by leibnita's test the alternating Series let an test We know that t anite (-et = H no intyt el

(1+0) = (-eko [since 2 LeL3] By Robio test, the series of ces is convergent ->06 - 4*)(1) - a By Ratio test the Series co I t is Convergent nel 1-4) let an= (1+2)

(1 **)")=2 con [ since it is (14) - e] By divergence test, the series + 100 is deport Genc o e Ms a no [: | 1050T ] 1 and - It ni It n o no an na intu! no mirntu. - nascos ht - = OL! By Patio test the series Inla is convergent, and Hence the series (+)?+cos (AT) is absolutely Convergent It noo nti ni Convergent / divergent | Test Convergent Ceinitz's test Convergent Ratio test Convergent Ratio test divergence test divergent e a n-icos (17) I absolutely naln! Convergent Ratio test