8. (3 pts) Evaluate the limit if it exists. If it does not exist, explain whether it is co, -co, or neither. lim x-x√x x+2x+3x-5 Solution 1 lim x-x√x *-* 2x3/2+3x-5 = lim x-x√x x+2x-√x+3x-5 -1 Solution 2 lim x-x√x x+2x3/2+3x-5 (0, 0.5, 1) for dividing top and bottom by x√x. = lim 2+示 lim +-1 2+3 lim-5. lim. lim x+00 (0, 0.5, 1) for intermediate algebra and limit laws 0-1 2+3(0)-5(0)(0) 2 (0, 0.5, 1) for final answer. - lim 3/2 (x-1/2-1) x³/2 (2+3x-1/2-5x-³/2) x +x = lim +-1 x→ 2+ 亦 √x lim +-1 2+3.lim -5.lim 4- lim 0-1 2+3(0)-5(0)(0) 2 -1 (0, 0.5, 1) for extracting Cancelling the common factor from the top and the bottom (0, 0.5, 1) for intermediate algebra and limit laws (0, 0.5, 1) for final answer.
8. (3 pts) Evaluate the limit if it exists. If it does not exist, explain whether it is co, -co, or neither. lim x-x√x x+2x+3x-5 Solution 1 lim x-x√x *-* 2x3/2+3x-5 = lim x-x√x x+2x-√x+3x-5 -1 Solution 2 lim x-x√x x+2x3/2+3x-5 (0, 0.5, 1) for dividing top and bottom by x√x. = lim 2+示 lim +-1 2+3 lim-5. lim. lim x+00 (0, 0.5, 1) for intermediate algebra and limit laws 0-1 2+3(0)-5(0)(0) 2 (0, 0.5, 1) for final answer. - lim 3/2 (x-1/2-1) x³/2 (2+3x-1/2-5x-³/2) x +x = lim +-1 x→ 2+ 亦 √x lim +-1 2+3.lim -5.lim 4- lim 0-1 2+3(0)-5(0)(0) 2 -1 (0, 0.5, 1) for extracting Cancelling the common factor from the top and the bottom (0, 0.5, 1) for intermediate algebra and limit laws (0, 0.5, 1) for final answer.
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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Can you show the steps of how to get this answer, and explain all the steps. You can pick any of the 2 solutions.

Transcribed Image Text:8. (3 pts) Evaluate the limit if it exists. If it does not exist, explain whether it is co, -co, or neither.
lim
x-x√x
x+2x+3x-5
Solution 1
lim
x-x√x
*-* 2x3/2+3x-5
=
lim
x-x√x
x+2x-√x+3x-5
-1
Solution 2
lim
x-x√x
x+2x3/2+3x-5
(0, 0.5, 1) for dividing
top and bottom by
x√x.
= lim
2+示
lim +-1
2+3 lim-5. lim. lim
x+00
(0, 0.5, 1) for
intermediate algebra
and limit laws
0-1
2+3(0)-5(0)(0)
2
(0, 0.5, 1) for final
answer.
- lim
3/2 (x-1/2-1)
x³/2 (2+3x-1/2-5x-³/2)
x +x
= lim
+-1
x→ 2+ 亦
√x
lim +-1
2+3.lim -5.lim 4- lim
0-1
2+3(0)-5(0)(0) 2
-1
(0, 0.5, 1) for extracting
Cancelling the common
factor
from the top
and the bottom
(0, 0.5, 1) for
intermediate algebra
and limit laws
(0, 0.5, 1) for final
answer.
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