Q5. (8 marks) Determine whether the following sequences are convergent or divergent. In case of a convergent sequence, find its limit lim an. n-0o n! (a) an = (b) an = V3n + 52; (c) an = ne-n; (d) a1 = 2, an+1 = 3 - an Q6. (4 marks) Determine whether the following series are convergent or divergent. In case of a convergent series, find its sum. 12 . 2n+1 (a) _ 3n n=1 4 ( b) _ 7n n= Q7. (2 marks) Find the value of a such that Lean = 25. n=0