Use L'Hopital's rule to find the limit. Note that in this problem, neither algebraic simplification nor the theorem for limits of rational functions at infinity provides an alternative to L'Hopital's rule. 7x -7 lim x-+1 In x3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 7x - 7 lim O A. x-+1 In x8 (Simplify your answer.) O B. The limit does not exist