Use an appropriate comparison test to determine theconvergence/divergence of the following series:
a.)? n= (1)/(?n?1) (Upper limit of the sigma is ? and the lowerlimit of the sigma is n=2)
b.) ? n=n(n+1)/(n^2+1) (n-1) (Upper limit of sigma is ? and thelower limit of sigma is n=2)
c.) ? n= cos^2(n)/ (n^3/2) (Upper limit of sigma is ? and thelower limit of sigma is n=1)
d.) ? 5^n/(?n4^n) (Upper limit of sigma is ? and the lower limitof sigma is n=1)
e.) ? n (1)/(In(In(n))) (Upper limit of sigma is ? and the lowerlimit of the sigma is n=3)
f.) ? (n+2^n)/(n^2*2^n) (Upper limit of sigma is ? and the lowerlimit of the sigma is n=1)
g.) ? (1)/(1^2+2^2+ 3^2+...+n^2) (Upper limit of sigma is ? andthe lower limit of the sigma is n=1)
