13-16 (i) Make a guess at the limit (if it exists) by evaluating he function at the specified x-values. (ii) Confirm your con Elusions about the limit by graphing the function over an ap ropriate interval. (iii) If you have a CAS, then use it to finc ne limit. [Note: For the trigonometric functions, be sure to pu our calculating and graphing utilities in radian mode.] x- 1 3. (а) lim x+1x3-1 x= 2, 1.5, 1.1, 1.01, 1.001, 0,0.5, 0.9, 0.99,0.999 x+1 (b) lim X+1+ x3 1' *= x+1 x 2, 1.5, 1.1, 1.01, 1.001, 1.0001 - (c) lim x+1- x3 - ;X3D0,0.5,0.9,0.99, 0.999, 0.9999

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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13-16 (i) Make a guess at the limit (if it exists) by evaluating
the function at the specified x-values. (ii) Confirm your con-
clusions about the limit by graphing the function over an ap-
propriate interval. (iii) If you have a CAS, then use it to find
the limit. [Note: For the trigonometric functions, be sure to put
your calculating and graphing utilities in radian mode.]
1
x= 2, 1.5, 1.1, 1.01, 1.001, 0,0.5, 0.9,
13. (а) lim
%3D
+1x3-1'
|
0.99,0.999
(b) lim
x1+ x3 - 1
;x 2,1.5, 1.1, 1.01, 1.001, 1.0001
x+1
(c) lim
1+1- x3 -1'
;x30,0.5,0.9,0.99,0.999, 0.9999
Transcribed Image Text:13-16 (i) Make a guess at the limit (if it exists) by evaluating the function at the specified x-values. (ii) Confirm your con- clusions about the limit by graphing the function over an ap- propriate interval. (iii) If you have a CAS, then use it to find the limit. [Note: For the trigonometric functions, be sure to put your calculating and graphing utilities in radian mode.] 1 x= 2, 1.5, 1.1, 1.01, 1.001, 0,0.5, 0.9, 13. (а) lim %3D +1x3-1' | 0.99,0.999 (b) lim x1+ x3 - 1 ;x 2,1.5, 1.1, 1.01, 1.001, 1.0001 x+1 (c) lim 1+1- x3 -1' ;x30,0.5,0.9,0.99,0.999, 0.9999
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