(10 points) The series Înky" converges when 0 < <1 and diverges when r > 1. This is true regardless of the value of the constant k. When r = 1 the n=1 oo series is a p-series. It converges if k < -1 and diverges otherwise. Each of the series below can be compared to a series of the form nk pn. For each series n=1 determine the best value of r and decide whether the series converges. 00 A. (7+n(7)")-7 n=1 r = converges or diverges (c or d)? с B. n" 72n 6" + n 9 n=1 r= converges or diverges (c or d)? d C. n + 2 no +7 n T= converges or diverges (c or d)? с 3 D. 2n2 + In +7-31 gn+2 +6n +7/n n=1 r = converges or diverges (c or d)? C
