For the function shown below, determine the following: (a) limx-z f(x) (b) limx-2+ f(x) (c) limxo f (x) (d) limxz f(x) (e) limx2+ f(x) x2-5X+4 x-16 3 x+8x-9 x-1 1 6. [4 Marks]. Determine the equation of the tangent to the curve of the function at the given value of x. y=x-x-1 where x = -2. 10. [3 Marks]. Determine limx-11 -2 -3 -4 -5 -6 x+2-2 7. [4 Marks]. Use the technique of rationalizing the numerator to find limx21 x-2 8. [4 Marks]. Determine the average rate of change in f(x)=x+11 with respect to x from x = 5 to x = 14. 9. [3 Marks]. Determine limx-41 1 2 3 4 5 6 7