for x 0 (a) Show that f(x) is continuous at x = 0 by evaluating lim f (x) = x-0 f(0) = E (b) Evaluate the following one-sided limits: f(0 + h) - f(0) lim = E h-0- h lim f(0 + h) - f(0) E h- 0+ h (c) Use part (b) to help evaluate f' (0) =Consider the function f (x) = x/x 2. (a) Simplify the following difference quotient as much as possible 4 4 W = (1)/((sqrt(x+h+2)+sqrt(X+2 I (b) Use your result from (a) and the limit definition of the derivative to calculate (0) Use your answer from part (b) to find the equation of the tangent line to the curve at the point (34, f (34)). y = (x/12)+(19/6) 2