Is the evaluation of b. correct, without using derivatives or l'Hospital?

6. Determine whether the evaluation of the limits given below are correct. If it is correct, explain why. If not, give the conect evaluation. a. b. 3 For x we have x hence x = lim I-I lim lim 2 3 x x x I cos(3x) lim x 2 sin(x IT 2)(1 + cos(3x)) lim x-o (l cos(3x))(l + cos(3x)) x sin(x x sin(3x) x sin(3x) IT 2)(1 + COS(3X)) lim lim lim 1 9 1 9 sin 2 (3 x) 2 sin(x IT 2 lim sin(x + COS(3X)) 2) lim I + cos(3x)