31+ cx 1 (a) Evaluate lim (L'Hospital's rule is not allowed) [5 marks] x→0 X 3x - 1 (b) Evaluate lim (L'Hospital's rule is not allowed) [6 marks] . x1 √√x – 1 = (c) Given the function f(x) x² + 10 sin x is continuous on the interval [31,32], show that there is a number c in the interval [31, 32] such that f(c) = 1000. [4 marks]