Question

Following series need to be determined whether they are convergent or divergent by using diffrerent tests:

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Σ.TEL (4) P-t. P, c (12) Σ (n-1.4 "+ 3n-1.2) (11) Σ L, c +1 (13) Σ8in n D, d (18) (21) (24) D, d (23) Σ(-1)"-2D, d (26) Σ(-1)"nin /1, c (29) Σe_n G, c (32) Σ(-1)"-, cr/r. A, c Σ(v2-1)L, d Σ(-1)n sin(n) A,c (27) (25) Σ㎡e-n, 1,c (28) 2n2-1 L, c (31 )-- Ri,c n25 し,d -3" +2n (G+ 2" (33) Σ 3, (G+ G), c (33) (37) 2273-2 (38) Σ(-1)"4n2+1A.c (40) Σ n(n-1, A,c (41) Σ (cosi): G, c 4+3" (47) (50) (53) Σ(-1)n-n5Ac Σ nvt 2n2+5 L, c Σarctan n D, d D,d (49)→(222 57-1)L, c (52) )1 3 (n2 +5n-1) L,c (51) -2 (51) Σ 2c, d nou arc tan n D,d Σ(-1)"--D, d Σ ln (2.4-5 Σsin (:) L,d (53) (54) r in T (56) (57) tan n (58) Σ /2 D, d (59) 2n +5) D, d (60) o ! n2 2 72