Question

Question 25, 27, 39

For Exercises 25-32, use the following graph of F to find each limit. When necessary, state that the limit does not exist. YA 6 F 4 2 1 $-4-3-2-1 1 2 3 4 5 6 -3 25. lim F(x) 27. lim F(x) 29. lim F(x) 31. lim + F(x) x-2 X-5 26. lim F(x) X2 28. lim F(x) 30. lim F(x) X-6 32. lim_ F(x) --2- X4 For Exercises 33-40, use the following graph of G to find each limit. When necessary, state that the limit does not exist. 2 1 -5--2-1 2 4 T1 33. lim G(x) x-2 35. lim - G(x) 34. lim G(x) 36. lim. G(x) 38. lim G(x) 40. lim G(x) 37. lim-G(x) 39. lim. G(x)

Question 25, 27, 39

Answer 1

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sol: 25) lim f(a) X-7-3 w we from the given graph approach a=-3 from left hand side of right hand side the Value of y is 5. So lim F (22) = 5 x 7-3 87) Gm F (2) X7-2 If we approach x=a2 from left handside the value 7 F (2) = 4 If from right handside the of y is a means (lim xx-2 approach X=-2' Value of y is a means [lim 23. both are unequal limit doesn't exist F(x) + X-2 :lim F(x) = limit doesn't exist X-2 1(39) Com Gla) x 737 a It me approach x=3 from right side the value of y is lo so lim G(x) = 0 2737