Suppose that an and =1 1 bn are two series with positive terms, and suppose the sequence {an/bn} is bounded above by M R. (a) Let s be the nth partial sum for the series an and tn the nth partial sum for the 700 series bn. Explain why sn M tn for all n. n=1 n=1 (b) Prove that if n-1 bn converges, then n an also converges. [Hint: You should not use any results from Section 2.6 here, but you can (and should) certainly use Theorems from Sections 2.1-2.4.]