D Question 2 1 pts Consider the integral _ dac. It is improper because its integrand blows up at x = 0. Using your knowledge of Taylor series, determine the leading order behavior of the integrand near x = 0 and decide whether the integral converges or diverges. Note: Observe that you do not need to find an antiderivative in order to determine whether an improper integral converges or diverges! 0 = 1 + 0(1) , so the integral converges. 0 = 1 + 0(1) , so the integral diverges. 0 = e-*+O(xe ), so the integral converges. 0 = e-"+ O(xe ) , so the integral diverges. 0 = 1+0(x) , so the integral converges. 0 = 1+O(x) , so the integral diverges