4. Use the given graph of f to state the value of each quantity, if it exists. If it does not exist, explain why. 15-18 . Use a table of values to estimate the (a) lim f(x) (b) lim f(x) (c) lim f(x) limit. If you have a graphing device, use it to confirm your (d) f(2) result graphically. (e) lim /(x) (f) S(4) 15. lim VX vx + 4 - 2 91 - 5' 18. lim - X 1. Given that lim f(x) = 4 lim g(x) = -2 lim h(x) = 0 1+2 1-+2 3-9 . Evaluate the limit and justify each step by indicating the appropriate Limit Law(s). find the limits that exist. If the limit does not exist, explain why. (a) lim [f(x) + 5g(x)] (b) lim [g(x)] 4. lim (x4 - 3x)(x' + 5x + 3) (c) lim of(x) 3f(x) (d) lim 1-+2 x-2 g(x) 8. lim - cos *x (e) lim 9(x) (f) lim 9(x)h(x) 1-+0 5+ 2x3 a-i h(x) x 2 f(x) 9. lim & sin & 37-42 = Find the limit, if it exists. If the limit does not exist. explain why. 11-28 - Evaluate the limit, if it exists. x - 4x mm 2- 1x 40. lim 12. lim -7 - 1 2 14X- 3x - 4 41. lim (- TXT) 17. lim- (-5 + h) - 25 26. lim Vx3+9 - 5 x +4 45. (a) If the symbol [ ] denotes the greatest integer function defined in Example 8, evaluate (i) lim, [x] (ii) lim [x] (iii) lim [x] (b) If n is an integer, evaluate (i) lim [x] (ii) lim [x] 49-56 . Find the limit. (c) For what values of a does lim, .. [x] exist? sin 3.x 49. lim - tan 61 51. lim 23. lim 1 16 16x - x 24. lim f-0 sin 21