Evaluate the limit: 23. lim (x - 2) 24. lim 25. lim X-2- x-2 25. Jlip 酒六 x-5+ x-2+ x-2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Evaluate the limit:
23. lim (x² – 2)
25. lim
x-5+
24.
im
Find the derivative using the definition of the derivative:
26. f(x) = 5x² – 3
Find the derivative:
27.
f (x) = 7x6 - 3x5 + 10x² + 5
g(x) = 4x7 – 6x2 – x-4
28.
29.
h(x) = 9x – 2 – Vx+
f (x) =
30.
(x2–2x+9)5
2x3
f (x) =
g(x) = V4x2 – 9
31.
32.
3x2+6x+8
33.
f (x) = 5e*
34.
g(x) = In(2x – 7)
f (x) = 4x²e2x
35.
h(x) = 8e*²-3x
36.
37.
g(x) = In(4x² – 7)5
38.
g(x) = 3x ln(5x + 8)
e9x
In(2x)
39.
h(x) =
40.
f (x) =
x2-3x+7
ex-1
g(x) = (7x² +x –- 12)(5x – 2)³
42.
y = 12esin x
41.
43.
g(x) = 2 sec x – csc x
44.
g(x) = sin x cos x
m(x) = sec(tan x)
1-sec x
46.
45.
h(x)
tan x
h(x) = 2*
48.
f (x) = arcsin( 2x)
47.
49.
h(x) =
= earccot x +x3
50.
f(x) = log5(xe*)
Transcribed Image Text:Evaluate the limit: 23. lim (x² – 2) 25. lim x-5+ 24. im Find the derivative using the definition of the derivative: 26. f(x) = 5x² – 3 Find the derivative: 27. f (x) = 7x6 - 3x5 + 10x² + 5 g(x) = 4x7 – 6x2 – x-4 28. 29. h(x) = 9x – 2 – Vx+ f (x) = 30. (x2–2x+9)5 2x3 f (x) = g(x) = V4x2 – 9 31. 32. 3x2+6x+8 33. f (x) = 5e* 34. g(x) = In(2x – 7) f (x) = 4x²e2x 35. h(x) = 8e*²-3x 36. 37. g(x) = In(4x² – 7)5 38. g(x) = 3x ln(5x + 8) e9x In(2x) 39. h(x) = 40. f (x) = x2-3x+7 ex-1 g(x) = (7x² +x –- 12)(5x – 2)³ 42. y = 12esin x 41. 43. g(x) = 2 sec x – csc x 44. g(x) = sin x cos x m(x) = sec(tan x) 1-sec x 46. 45. h(x) tan x h(x) = 2* 48. f (x) = arcsin( 2x) 47. 49. h(x) = = earccot x +x3 50. f(x) = log5(xe*)
Find the limit based on the graph of f(x).
4.
3
-5.
-2
1
3
4
-1
-2
Sevs
m f(x)
9. lim f(x)
10. lim f (x)
8.
x-2
x→2¬
11. lim f(x)
12. lim f(x)
13. lim f (x)
x→0-
14. lim f(x)
15. lim f(x)
16. lim f(x)
x→6+
17. f(0)
18. f(4)
19. f(2)
20. State the type of discontinuity that occurs at x-0, 2 and 6
21. State the intervals on which the function is continuous.
22. State the x values where the function not differentiable?
Transcribed Image Text:Find the limit based on the graph of f(x). 4. 3 -5. -2 1 3 4 -1 -2 Sevs m f(x) 9. lim f(x) 10. lim f (x) 8. x-2 x→2¬ 11. lim f(x) 12. lim f(x) 13. lim f (x) x→0- 14. lim f(x) 15. lim f(x) 16. lim f(x) x→6+ 17. f(0) 18. f(4) 19. f(2) 20. State the type of discontinuity that occurs at x-0, 2 and 6 21. State the intervals on which the function is continuous. 22. State the x values where the function not differentiable?
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