For the following series ∑ of a(n) between n=1 and ∞, determine if

the series converges and if so find the limit. (Hint: use partial

fractions to express a(n).)

(a) a(n)=1/(n(n+1))

(b) a(n)=1/(n^2+2n)

(c) a(n)=1/(n(n^2-1))

(As a(1) is not defined consider ∑ of a(n) between n=2 and ∞.)