Guess the value of the limit (if it exists) by evaluating the function at the given numbers. x2 - 2x lim x = 2.1, 2.05, 2.01, 2.001, 2.0001, 1.9, 1.95, 1.99, 1.999, 1.9999 x→2 x2 – 4 Complete the table (correct to six decimal places). f(x) f(x) 2.1 0.512195 1.9 0.487179 2.05 0.677420 1.95 0.493671 2.01 0.501247 1.99 0.498747 2.001 0.667774 1.999 0.661017 2.0001 0.666778 1.9999 0.666556 Guess the value of the limit (correct to six decimal places). (If an answer does not exist, enter DNE.) 0.500000 Need Help? Read It Watch It

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Question
Guess the value of the limit (if it exists) by evaluating the function at the given numbers.
x2 - 2x
lim
x-2 x2 - 4
x = 2.1, 2.05, 2.01, 2.001, 2.0001, 1.9, 1.95, 1.99, 1.999, 1.9999
Complete the table (correct to six decimal places).
f(x)
f(x)
2.1
0.512195
1.9
0.487179
2.05
0.677420
1.95
0.493671
2.01
0.501247
1.99
0.498747
2.001
0.667774
1.999
0.661017
2.0001
0.666778
1.9999
0.666556
Guess the value of the limit (correct to six decimal places). (If an answer does not exist, enter DNE.)
0.500000
Need Help?
Read It
Watch It
Transcribed Image Text:Guess the value of the limit (if it exists) by evaluating the function at the given numbers. x2 - 2x lim x-2 x2 - 4 x = 2.1, 2.05, 2.01, 2.001, 2.0001, 1.9, 1.95, 1.99, 1.999, 1.9999 Complete the table (correct to six decimal places). f(x) f(x) 2.1 0.512195 1.9 0.487179 2.05 0.677420 1.95 0.493671 2.01 0.501247 1.99 0.498747 2.001 0.667774 1.999 0.661017 2.0001 0.666778 1.9999 0.666556 Guess the value of the limit (correct to six decimal places). (If an answer does not exist, enter DNE.) 0.500000 Need Help? Read It Watch It
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