The goal of this problem is to justify the following statement by using the Comparison Test for series. Suppose that 2 an and 2 bn are convergent series with an, 5,; 2 0 for all natural numbers n. Then, E ant!\" is also a convergent series. n=1 (a) (1 mark) By only using the Comparison Test and the following fact (FACT 1), justify CK) CXJ that if an > 0 for all n and Z on is convergent, then 2 0:3, is also convergent. FACT 1: if (in Z O for all n and Z (in is convergent, then a: S on for n 2 M for some n=1 natural number M. (b) (1 mark) By only using the Comparison Test and the following fact (FACT 2), justify that if an, bn > 0 for all n and 20.\