691 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

Question

Number 26 and here are the directions

691
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) =
Expand
Transcribed Image Text

691 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
Expand
Transcribed Image Text

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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