Calculating Limits as x +∞ In Exercises 37-42, find the limit of each function (a) as x ane (b) as x-0. (You may wish to visualize your answer with graphing calculator or computer.) 37. f(x) = 2 38. f(x) = T x2 3 %3D 39. g(x) = 1 40. g(x) 8 1 2 + (1/x) -5 + (7/x) 3 (1/x2) (5/x²) 3 - (2/x) 41. h(x) : 42. h(x) 4 + (V2/x²) Find the limits in Exercises 43-46. sin 2x 43. lim cos 0 44. lim 0→-0 30

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Calculating Limits as x ±∞
In Exercises 37-42, find the limit of each function (a) as x 0 and
(b) as x→-8. (You may wish to visualize your answer with a
graphing calculator or computer.)
2.
38. f(x) = T
2
37. f(x) = - 3
%3D
1
1
39. g(x):
40. g(x)
%3D
%3D
2 + (1/x)
8- (5/x²)
-5+(7/x)
3- (2/x)
41. h(x) :
42. h(x) :
%3D
3- (1/x2)
4 +
Find the limits in Exercises 43-46.
43. lim Sin 2x
cos 0
44. lim
0→-8 30
1
Transcribed Image Text:Calculating Limits as x ±∞ In Exercises 37-42, find the limit of each function (a) as x 0 and (b) as x→-8. (You may wish to visualize your answer with a graphing calculator or computer.) 2. 38. f(x) = T 2 37. f(x) = - 3 %3D 1 1 39. g(x): 40. g(x) %3D %3D 2 + (1/x) 8- (5/x²) -5+(7/x) 3- (2/x) 41. h(x) : 42. h(x) : %3D 3- (1/x2) 4 + Find the limits in Exercises 43-46. 43. lim Sin 2x cos 0 44. lim 0→-8 30 1
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