OO k2 + 1 k+1 [3] Test the following infinite products for convergence: a) II K2 b) II k k=1 k=1 [4] The infinite product II, (1 + a*) is called the reciprocal product to II (1 + ak) if 1 ak 1 + ak = for k > K. This means that ax = - 1 + ak 1 + ak Show that an infinite product converges if and only if its reciprocal product converges