2x + 3 f(x) %3D 5x +7

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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Q 47

43. lim sin 2x
Cos O
44. lim
2-t+ sint
t + cos t
45. lim
r + sin r
46. lim
r 8 2r +7-5 sin r
Limits of Rational Functions
In Exercises 47-56, find the limit of each rational function (a) as
x→∞ and (b) as x →-8.
2x + 3
2x + 7
47. f(x):
48. f(x)
%3D
5x + 7
x3 -x² + x + 7
49. f(x) = * + 1
2.
x² + 3
3x + 7
50. f(x) :
%3D
%3D
x? - 2
|
7x³
1
51. h(x)
52. g(x) =
%3D
%3D
x3 - 3x2 + 6x
x3 -4x + 1
I3D
Transcribed Image Text:43. lim sin 2x Cos O 44. lim 2-t+ sint t + cos t 45. lim r + sin r 46. lim r 8 2r +7-5 sin r Limits of Rational Functions In Exercises 47-56, find the limit of each rational function (a) as x→∞ and (b) as x →-8. 2x + 3 2x + 7 47. f(x): 48. f(x) %3D 5x + 7 x3 -x² + x + 7 49. f(x) = * + 1 2. x² + 3 3x + 7 50. f(x) : %3D %3D x? - 2 | 7x³ 1 51. h(x) 52. g(x) = %3D %3D x3 - 3x2 + 6x x3 -4x + 1 I3D
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