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converge or diverge using what test

(-1) n=1 nzo 00 E Inlinn) nez 00 E n! 2n h3

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1) (-0 +1 n=1 Series testin Alternating (i) lim = o n so 10241 (ii) ş is the Vati decreasing Sequence, as n²ti is the increa8 W (214) CONVERGES. n=o 3) en (enn) n=2 Note that ln (lnn) < ln n <n, Vna 3 So, In (enn) Inn kn23 Vn> 3. n and we In(enn) kn4) n n! 2 8) : 03 n=1 consider lim n!2^ n3 n & 2 n-> lim (n-3)! (0) Ana lim (n-3)! (1-3) (7). n no lim (n-3)!. 11 n sa こ Thi

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