Problem 3: Evaluating Limits (17 points) A circle is changing size over time. At time t, the radius of the circle is given by r(t). The graph of r is given in the figure below. Denote by A(t) the area of the circle at time t. r (t ) W N 2 3 4 5 6 7 8 For each of the limits below, give the form of the limit, then evaluate the limit. Show your work and justify your answer. et + +2 a) (7 points) lim - 1 + 4 A (t ) FORM : VALUE : b) (10 points) lim x + 2xr(x) - 2 * + 2 x2 - 4 FORM : VALUE