Determine whether the following are convergent or divergent. If it is convergent find its sum. Make sure to fully justify all of your work.(Recall, for convergent GS the number a is the first non-zero term in the series?

(a) (sin(100)) * k=1 (b) > arctan(n) n=0 (c) 2 243 729 + ... (d) 1 n +2 n (e ) n- + 1 In 2n2 + 1 2n (f) 67-1 (g) M& IM & IM & IM & IM & IM & IM 73 n (h) 4 + en (i) (-6)n 2n + 4 (j) 3n n=0