Test # 1 (A) MAT 1475 Calculus I Dr. A. Rozenblyum Fall 2018 Show all your work in blue booklet only (answers without work will not be accepted). Write neatly. Box final answers. 1. Approximate the limit lim fath)-f(a) for the function / (x) = - 4 x+3 using a = 2, h = -0.1. 2. Calculate the limit lim * +x-6 x - 2x 2x - 5x + 4. x 2 a) lim f(x), b) lim /(x). c) lim f(x), d) f (2) 1 4. Give the intervals on which function / (x) = V2x3 -8 is continuous. x - 3 5. Find the limits for the function /(x) = X- x-6 a) lim f(x), b) lim f(x), c) lim f(x) 6. Identify the horizontal and vertical asymptotes for the function f(x) = 2X" + x-5 X - 2x - 8 2x - 3x3 + 1 7. Evaluate the limit lim x- +4 8. Use the definition of the derivative to calculate the derivative of the function f(x) =3x2 - 2x+1 9. Find the equation of the tangent line to the graph of the function f (x) = 4 -3x at x = 2 10. A graph of function f (x) is given. Using the graph, sketch graph of derivative f(x)