b) Evaluate the limit using a table of values, and confirm with a sketch of the graph. x³ - 1 liM × ³-1 X-1 =lim X ³ - 1 ³ X->/ x-1 lim- x-1 x - 1 - 11= 1-1 x/x²+x+

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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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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Not sure if I did this right, can you show all work, and (sketch the graph) it should include. Thank you!
X->3
b) Evaluate the limit using a table of values, and confirm with a sketch of the graph.
lim*2=1====
0
0
lim × ³-1
3
= lim x ³-1 ³
X->/ X-1
x-1
lim
X->1
1-4
1-1
x ²³-1_, (x-1)(x² + (x)(1) +1²)
=lin-
X-1 X->1
X-1
TIM
X-) |
x-1
= 1;M (X)(x²+x+1)
>>->1
XT
linx3-1
X-I
*→>1
X³-1 = 1;M (X²+X+1) 1MX2 = 1²+1+1
X³-1
X-1
X-|
*>1
link ² = 1 = 3
Transcribed Image Text:X->3 b) Evaluate the limit using a table of values, and confirm with a sketch of the graph. lim*2=1==== 0 0 lim × ³-1 3 = lim x ³-1 ³ X->/ X-1 x-1 lim X->1 1-4 1-1 x ²³-1_, (x-1)(x² + (x)(1) +1²) =lin- X-1 X->1 X-1 TIM X-) | x-1 = 1;M (X)(x²+x+1) >>->1 XT linx3-1 X-I *→>1 X³-1 = 1;M (X²+X+1) 1MX2 = 1²+1+1 X³-1 X-1 X-| *>1 link ² = 1 = 3
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