REVIEW LIMITS Evaluate the following limits. If any of them fail to exist, say so and justify why. 1. (a) lim - 100 12. lim Vx - 1 T-+10 r - 10 -1+ 52 - 1 - 99 (b) lim 13. Let C+10 2 - 10 - 100 (c) lim f(x) = in if x#1, T-+10 if x = 1. T-9 (d) lim f(x), where Find lim f(x). x-+10 74+1- f(x) = x2 for all r / 10, but f (10) = 99. 14. Let F(x) = 2-3r 12x-31 (e) lim v-x2 + 20r - 100 (a) Find lim F(x). r-+10 F-+1.5+ r' - 16 (b) Find lim F(x). 2. lim - In (x] F-+1.5- (c) Does lim F(x) exist? Provide a 7+1,5 reason. 3. lim 140o (4x - 1 - 40 15. lim (a - 8)(x + 2) 4. lim 3.15 - 7r + r 84-00 526 + 425 - 3 16. lim Va - 4 5.r7 - 725 + 1 1-16 + - 16 5. lim 1-4-0 217 + 616 - 3 17. lim VI - 2 6. lim 2r + 373 74-00 13 + 2x- 18. Find constants a and b such that lim var + b - 2 5r + 2.13 . = 1. 7. lim 34-0 3 + x- 7 71/3 - 2 3.r + |1 - 3x) 19. lim C-+8 lim 1 - 5r 20. lim (va'+x- x) . lim T-+00 21. lim (Vr' + 5x - vx3 + 21 1 + 3r T4-0 10. lim 3-400 V2x2 + x 22. lim ( vx2- r+1 - v12+ 1) T-+0 11. lim VAr' + 3x - 7 7-+00 7 - 3.r 23. lim T+00 (Vr' + 3. -2-1)