Use the Integral Test to determine whether the following series converges after showing that the conditions of the Integral Test are satised. 00 ke' 7K2 k=1 " The function f(x) is positive for x 2 1. The function f(x) is continuous for x 2 1. The function f(x) is negative for x 21. \"I The function f(x) has the property that ak =f(k) for k =1, 2, 3, Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 2 The series converges. The value of the integral Ixe' 7" dx is 1 (Type an exact answer.) {i1- B. 00 _ 7 2 e The series diverges. The value of the integral Ixe' 7" dx is I. 1 {Type an exact answer.)