Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

3. Determine whether the statement is true of false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. (a) If >c.6" is convergent, then _, (-6)" is convergent. n = 1 1 = (b) If sequences fa, } and (6, } are both divergent, then (a,b, } is divergent. (c) If a >0 for all for each and lim "at1 1 , then lima,=0. (d) If Ja = A and >b = B where A and B are finite number, then Job = AB. 1 = 1