Select the FIRST correct reason why the given series diverges. A. Diverges because the terms don't have limit zero B. Divergent geometric series C. Divergent p series D. Integral test E. Comparison with a divergent p series F. Diverges by limit comparison test G. Diverges by alternating series test Comparison test: Suppose there is a fixed number K such that for all sufficiently large n: i} D fin > i} and (1 lim _n = R exists. Moreover R Is not zero. n we b" 00 OD THEN 2a,. and 2.5.. n1 n1 both converge or both diverge. OTHER CONVERGENCE TESTS FOR SERIES (Alternating series test, absolute convergence, RATIO TEST} Alternating series test: Suppose the sequence 0.1, (13413, . . . is decreasing and has limit zero. Then 00 Z '[1]an converges. 1 TRis applies to [l)(1f2}+[1;'3}[1;'4}+... Absolute Convergence Test: IF 2 lan| converges. nl 00 TH EN 2 on converges. nl Ratio test: SUPPOSE | "3:11 | has limit equal to r. 00 IF 1" c: 1 then 2a,. convERoEs. 00 IF I > 1 the 2a,. DIvERGEs. nl