Multiple Choice, Section 1 Show work if you would like partial credit! Some multiple choice have more than one correct answer. Please make a note of these (and why multiple answers work!) 1. Lim VX +16-4 8 x A. 8 B. 1/8 C. O D. Does not exist -3x'+3x-5 2. lim 1-x A. -3 B . 3 C. O D. 3. lim 1-2*- 100 A. 5 B. 1 0 D. Does not exist4. Given that 1.8 1.9 1.99 2.01 2.1 22 0.8 0.08 0.003 0.009 0.9 It would appear that im g (x) A. B. 1 C. -1 D. Does not exist 5. Let/ be defined as follows, where a #0. /(x)= X-Q 3a , x=a Which of the following are true about? Please only choose one answer. I. lim f(x) exists. II. f(a) exists. III. f(x) is continuous at x = a A. None B. I, II, and III C. Ionly D. II only E. l and ll only 5. lim x - 1 5-1X+2x-3 A. -12 B. 0 C. 1/2 D. 7. lim Sinx + 1 x+28. Which of the following graphs below is consistent with li - -3 70 --L Up There may be more than one correct answer. PLEASE LIST ALL CORRECT ANSWERS. A. B. C. D. E.9. If god is continuous for all real numbers and g(1)= 5, 9() =-3, which of the following are necessarily true? I. g x )= 2 at leastonce between x=1Ax=4 ! . lim g ( x) =-3 III. lim Please only choose one answer from below. A. Ionly B. III only C. II and III only D. I, II, and Ill E. None of these. 10. If the following function is continuous, what is the value of a? Please show the algebra to support your TEMSUE /Ix)= x*+2,x=1 4x-4,x=1 A.Free Response Please showall work! 1. For each of the following find: I. lim f(x) II. lim f(x) III. lim f(x) X+2 lora=- 3 B. / [x)= cos[x), x80 tan[x), xandso\fFree Response Question 2 Please showall work! 2. Use the graph below to find the following limits: 14 12 10 - -3, 17 -1B -14 -12 - 10 10 12 2- I. lim f(x) II. lim f(x) III. lim f(x) A.. for a = -3I. lim f(x) II. lim f(x) III. lim f(x) B for a = 4 c. lim / [x) D. lim / (x)