5. RC is working on some limits, but he's making some common mistakes. In each part, figure out what is wrong with his reasoning, and solve the problem correctly. (RC writes "L'H" whenever he uses L'Hopital's Rule.) (a) Problem: Evaluate lim COS x RC's reasoning: I'll use L'Hopital's Rule: lim COS x lim - sin x = 0 1 (b) Problem: Evaluate lim RC's reasoning: As x - 0, the numerator 2" - 1 - 0. 0 over anything is 0, so the limit must be 0. (c) Problem: Evaluate lim In x +00 4vx RC's reasoning: This is of the form , "; so I'll use L'Hopital's Rule: lim In x lim 1/x x-+00 4x1/2 x->co 2x-1/2 Now, this is of the form ", so I'll use L'Hopital's Rule again: -x-2 lim x-+00 -x-3/2 This is still of the form ", so I'll use L'Hopital's Rule again. .. RC's reasoning so far is correct, but he's not getting anywhere. What should he do differently to evaluate this limit