Problem 8.2 Prove that lim pl/ = 1. 1-+00 You may use the inequality n

Problem 8.2 Prowe that You may use the inequality n Hint: For n N, one has lim n for n N without proof. 11/" < nl/n S 1+2 Show the limits on the far left and the far right are both equal to 1. You can finish the proof by citing a certain theorem.