792
Answer Key
67 . DNE 69 . 0 71 . −2 73 . DNE 75 . 0 77 . Answers may vary.
79 . Answers may vary.
81 . a. ρ 2 b. ρ 1 c. DNE unless ρ 1 = ρ 2 . As you approach x SF from the right, you are in the high-density area of the shock. When you approach from the left, you have not experienced the “shock” yet and are at a lower density. 83 . Use constant multiple law and difference law: lim x →0 ⎛ ⎝ 4 x 2 −2 x +3 ⎞ ⎠ =4 lim x →0 x 2 −2 lim x →0 x + lim x →0 3=3 85 . Use root law: lim x →−2 x 2 −6 x +3= lim x →−2 ⎛ ⎝ x 2 −6 x +3 ⎞ ⎠ = 19 87 . 49 89 . 1
91 . − 5 7 93 . lim x →4
x 2 −16
x 2 −16 x −4 = lim x →4
( x +4)( x −4)
16−16
0 0 ; then, lim x →4
x −4 =
4−4 =
x −4 =8
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