Guess the value of the limit of f(x) as x approaches 4, correct to six decimal places. (If an answer does not exist, enter DNE.) x² - 4x lim 0.571367 X x 4 x² x 12

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Evaluate the function f(x) at the given numbers (correct to six decimal places).
x² - 4x
x²-x-12
f(x)
=
f(4.5) = 3/5
f(4.1) = 41/71
f(4.05) = 27/47
f(4.01)
= 401/701
f(4.005) = 267/467
f(4.001) = 4001/7001
f(3.9) = 13/23
f(3.95)
79/139
f(3.99) = 133/233
f(3.995) 799/1399
f(3.999) = 1333/2333
=
x = 4.5, 4.1, 4.05, 4.01, 4.005, 4.001, 3.9, 3.95, 3.99, 3.995, 3.999
I
Guess the value of the limit of f(x) as x approaches 4, correct to six decimal places. (If an answer does not exist, enter DNE.)
x² - 4x
lim
x→4 x² - x - 12
= 0.571367 X
Transcribed Image Text:Evaluate the function f(x) at the given numbers (correct to six decimal places). x² - 4x x²-x-12 f(x) = f(4.5) = 3/5 f(4.1) = 41/71 f(4.05) = 27/47 f(4.01) = 401/701 f(4.005) = 267/467 f(4.001) = 4001/7001 f(3.9) = 13/23 f(3.95) 79/139 f(3.99) = 133/233 f(3.995) 799/1399 f(3.999) = 1333/2333 = x = 4.5, 4.1, 4.05, 4.01, 4.005, 4.001, 3.9, 3.95, 3.99, 3.995, 3.999 I Guess the value of the limit of f(x) as x approaches 4, correct to six decimal places. (If an answer does not exist, enter DNE.) x² - 4x lim x→4 x² - x - 12 = 0.571367 X
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