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8. Using the L'Hospital's rule, determine the following limits. (a) lim x1/(1-1) I-+1+ (b) lim (1 - 2.r) 1/I 9. Using the L'Hospital's rule, determine the following limits. (a) lim (1+ a \\ br I-+00 2x -3 2x+1 (b) lim T-+00 2r + 5. 10. Section 4.2, problem 18. Show work! 18. Fig. 15 shows the graph of h and the areas of several regions. Evaluate: (a) ( her ) dx (b ) [ h( x ) dx -1 4 [ h(x) dx Fig. 15 (c) ( ) f how) dx -2 -2 -27. Section 3.7, problems 8, 10, 12. Determine the limits in problems 1 - 15 In(x) 8. lim Vx e 3x _ 2x 10. lim 4x 12. lim 1- cos(2x)