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(Revision 15) (6 points) 6. Determine whether the evaluation of the limits given below are correct. If it is correct, explain why. If not, give the correct evaluation. Vx 2 _ -X1-1/x a Forx -> -do we have , hence X -x3141-1/ x lim lim lim 1-1/x -x = co X X x sin(x - # / 2) x sin(x - x / 2)(1 + cos(3x)) b. lim- 1-cos(3x) 1-+0 (1- cos(3x)) (1 + cos(3x)) x- sin(x - x /2)(1 + cos(3x)) - lim sin (3x) X = lim sin(x - # / 2)(1 + cos(3x)) 1-+0 sin(3x) 2 X = lim lim sin(x - # / 2) lim 1+ cos(3x) 1 +0 sin(3x) x-0 - (-1)(1) (28 points) 7. Evaluate each of the limits listed below. Justify your answers by identifying the results of Units 2 and 3 you apply in each case. If a limit does not exist, explain why- sin(7 - x) lim VX -x+1 3- 3x +4x - 12 lim X-3 3x- - 7x - 6 (7X +1)(3-x2) lim cos X - * x sin(3x) di x +1 Vx+1 lim sin x +x2 lim Vx+1-1 sin (3x) g. lim x-01- cos(2x)