Please solve this question8 and include steps

WRQ8 (10 points) 0. . (111 33V (a) [3] Prove that 11m = $)OO a: (In 2:)2 (b) [4] Determine the intervals on which f(:c) = is increasing and decreasing. Classify any critical numbers of f. (c) [3] From the previous part, it turns out that f'(m) 82 which when combined with the fact that f(e2) 32. That is, (1mm)2 62. 1 (1n n)2 00 Use this information to determine whether 2 converges. n22