6. (k) This problem is extra credit! Completing this will earn you 1 online homework drop. Let f(a:) = m2 lnm, dened on (D, 00). (a) Find the exact coordinates of all local extrema, and say whether each is a local minimum or local maximum. (b) Find lim 3:2le and lim mglnm. 3)00 340+ Hint: You'll need to use L'Hopital's Rule for one of these (which one?); to do that, it will help 2 1 (1 x )_1 or as %. (These are the same, but which one looks easier to I127. .'L' use L'Hpital's Rule with?) to rewrite f(:n) as either (c) Use the previous parts to sketch a rough graph of f (m) (Your graph does not need to accurately show the concavity of f.)