MathAlgebraQ&A Library691 imits: Continuous Functions x2 +x-6 22. lim x-3 x + 2x - 3 x3- 8 26. lim - 4 x-2 x3 2x2+4x- 8 29. lim x2 +x-6 *2 x3-3x2 + 4x- 12 x4-3x3 + x - 3 32. lim 3 35. c= 3; f(x) = e6uess ato Jak xm3 Ra) a fAad ww c.dux 2 The limit as x approaches 2 of the average rate of change is 420 2 /lx rodhienms lim Lx)-2) +3x10 lim (x + 5)(x lim Phond **2 x- 2 x-2 x2 X 2 -7 NOW WORK PROBLEM 35. 45. im/2/(x)) DI iMARY To find exact values for lim f(x), try the following: 49. i ) 1. If fis a polynomial Function or iffis a rational function and c is in the domain, *n xt 12.3 O then lim f(x) =f(c) [Formula (8) or Formula (12)] 2. If fis a polynomial raised to a power or is the root of a polynomial, * + C PREPARIN 3. If fis a quotient and the limit of the denominator is not zero, use the fact that the 4. Iffis a quotient and the limit of the denominator is zero, use other techniques, such (8) and (9) with Formula (7). > Piecew use Formulas limit of a quotient is the quotient of the limits. pp. 58 > Librar as factoring. > Prope (Chap s to Odd-Numbered Problems Begin on Page AN-69. 0BJECTI 2. lim (-3) 3. lim x Find the a functio lim (2-5x) x4 4. lim x 7. lim (3x2 5x) x-3 8. lim (8x2 4) 10. lim (8x3 7x3 +8x2 +x- 4) x-2 m(3x - 4) 2 13. limv5x +4 3*+ 4 14. limvl - 2x x+ x ey 17. lim(3x- 2)52 0 **2 18. lim (2x+ 1 --1

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