please make your hand writing more clearly

Question 1 State if the statement below is true, or false. If it is false, write the correct statement. 1.1 limx->-af(x) = f(a). (2) 1.2 limx-+a(f(x) + g(x)) = limx-+af(x) - limx-+ag(x). ( 2 ) 1.3 limx-+c(g(x)) ) = limx-+a f(x)-limx-. a 9(x) limx-+ag(x) (2 ) 1.4 limx->a f(x) . g(x) = (limx-+a f(x))(limx-+ag(x)). (2 ) 1.5 limx-+af(x)" = (n - 1) limx-+ af(x) (n-1). (2) Question 2 Evaluate the following limits: 2.1 limx-+-3(x3 - 2)(-x2 + 5x). (3) 2.2 limx-+4-(* 4). (3) Question 3 Let x - 1 if x 2 -2 f (x) =1 x2 - 4x +6 ifx -1 Determine whether or not f(x) is continuous at X = 1. (5) Question 6 Use the first principle to determine f'(x) of the following functions: 6.1 f(x) = x2 + Cos x. (3) 6.2 f(x) = -x2 +4x - 7. (3 ) Question 7 Use the appropriate differentiation techniques to determine the f (x) of the following functions (simplify your answer as far as possible): 7.1 f(x) = (-x3 - 2x-2+5)(x-4+5x2 - x -9). (4) 7.2 f (x) = (-*#1)-2. ( 4 ) 7.3 f (x) = (-2x2 - x)( 3x3-4x2 ). ( 4 ) Question 8 Differentiate the following with respect to the independent variables: 8.1 y = In | - 503 + 2t - 31 -6Int-31. (4) 8.2 g(t) = 2in(-31) - In e-21-3 (3)