Question 1. [7 Marks] Consider the function sequences (fn), (9n) and (hn) given for nЄ N* by 2² sin nx f:RR:TH 9n: RR: x + hn: RR: x4 (1+2)". √x² + 1/n n Give the pointwise limit, if it exists, for each of these sequences. Question 2. [5 Marks] Set X₂ [10 √7]/10" for each n € N*, where [r] represents the integral part of the real number r. Give the first five terms of the sequence (Xn) and using this sequence, explain clearly and briefly why the set Q of rational numbers is not complete. Question 3. Marks] Assume that (M, d) is a compact metric space. Show that if ƒ: (M, d) → (Y, d) is continuous and bijective, then f is a homeomorphism.