Suppose that summation an and summation bn are series with positive terms and summation bn is convergent. Prove that if lim nt o infinity an/bn=0, then summation an is also convergent. Use it to show that the series converges. (i) summation n=1 to infinity ln n/n³ (ii) summation n=1 to infinity lnn/n¹/2eⁿ
