1.)

Use the Alternating Series Test to determine whether the series converges or diverges. (For limits, enter a number, "-infnity , infinity", or "DNE" as appropriate.) i0] 1)n_1( 8n5 + 14 ) n=1 \\/ in l 12 O A. {an} is ultimately decreasing because the function f satifying n) = on is decreasing on the interval Therefore the series converges by the Alternating Series test. 0 B. 11111 on = , so the series diverges by the Divergence Test. nI'DO Use the Alternating Series Test to determine whether the series converges or diverges. (For limits, enter a number, "-infnitv , infinity", or "DNE" as appropriate.) 00 (1)\"+1(V'n + 9 x/) :1 lim on = nioo O A. {on} is decreasing because it has constant numerator and increasing denominator. Therefore the series converges by the Alternating Series test. 0 B. 11111 on = , so the series diverges by the Divergence Test. 1'1}OO Use the Alternating Series Test to determine whether the series converges or diverges. (For limits, enter a number, "-infnity , infinity", or "DNE" as appropriate.) 0 to cos(mr] Z 88?; 11:1 lim on = ill>00 O A. {on} is ultimately decreasing because the function f satifying n) = I)\" is decreasing on the interval Therefore the series converges by the Alternating Series test. 0 B. 11111 on = , so the series diverges by the Divergence Test. 71}00 Use the Alternating Series Test to determine whether the series converges or diverges. (For limits, enter a number, "-infnity , infinity", or "DNE" as appropriate.) 00 9(4)\" 2 1 \":1 tan n lim 5,. = O A. {5\"} is ultimately decreasing because the function f satifying n) = b\" is decreasing on the interval Therefore the series converges by the Alternating Series test. 0 B. 11111 on = , so the series diverges by the Divergence Test. 71}00 Given the convergent series, 2 1121 T1 How many terms are needed to approximate the sum of the series with |error|