Question

I need help on one more limits question on page 103 of the James Stewart Calculus Eighth Edition textbook: question #31. I am having trouble mostly on the numerator part of the equation and getting my factoring right

(((x+h)^3)-x^3)

hat
e get
20. lim
1
x+2
19, lim
2 x+8
Au +1-3
9+h-3
22. lim
21. lim
-2
h
1
1
(3+h) 3
3
24. lim
23. lim
+t
25, Im -
26. lim
0
0
- 4x+4
4-x
re
28. lim
I2x .x 4
27. lim
16 16
- H)
x2+9 5
29. lim
30. lim
x t 4
(x+ h-x
(x + h
31. lim
32. lim

Image Transcription

hat e get 20. lim 1 x+2 19, lim 2 x+8 Au +1-3 9+h-3 22. lim 21. lim -2 h 1 1 (3+h) 3 3 24. lim 23. lim +t 25, Im - 26. lim 0 0 - 4x+4 4-x re 28. lim I2x .x 4 27. lim 16 16 - H) x2+9 5 29. lim 30. lim x t 4 (x+ h-x (x + h 31. lim 32. lim

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