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Match three of the below statements to the definition of f that makes them true, and identify the statement that is never true. is true if f(x) = is not true of any function is true if f(x) = x2 - 6x +1 x < 5 -4 x=5 4x20 x>5 is true if f(x) = 22-6x+4 x < 5 x=5 x>5 5 52 – 26 x² 1 3x - 14 8x+16 x < 5 x=5 x>5 1. The limit lim 5 f(x) does not exist but the function is continuous at x = 5 2. The limit lim 5 f(x) exists but the function is not continuous at x = 5 3. The limit lim 5 f(x) exists and the function is continuous at x = 5 4. The limit limx→5 f(x) does not exist and the function is not continuous at a = 5

Match three of the below statements to the definition of f that makes them true, and identify the statement that is never true. is true if f(x) = is not true of any function is true if f(x) = x2 - 6x +1 x < 5 -4 x=5 4x20 x>5 is true if f(x) = 22-6x+4 x < 5 x=5 x>5 5 52 – 26 x² 1 3x - 14 8x+16 x < 5 x=5 x>5 1. The limit lim 5 f(x) does not exist but the function is continuous at x = 5 2. The limit lim 5 f(x) exists but the function is not continuous at x = 5 3. The limit lim 5 f(x) exists and the function is continuous at x = 5 4. The limit limx→5 f(x) does not exist and the function is not continuous at a = 5

Advanced Engineering Mathematics
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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Match three of the below statements to the definition of f that makes them true, and identify the statement that is never true. ✓is true if f(x) = x² - 6x +1 -4 4x - 20 ✓is not true of any function ✓ is true if f(x) = vis true if f(x) = 5 x² - 6x +4 x < 5 x=5 x>5 5 x 26 x < 5 x=5 x>5 x² - 8x+16 1 3x - 14 x < 5 x=5 x>5 1. The limit lim 5 f(x) does not exist but the function is continuous at x = 5 2. The limit limx→5 f(x) exists but the function is not continuous at x = 5 3. The limit limx→5 f(x) exists and the function is continuous at x = 5 4. The limit lim 5 f(x) does not exist and the function is not continuous at x = 5
Transcribed Image Text:Match three of the below statements to the definition of f that makes them true, and identify the statement that is never true. ✓is true if f(x) = x² - 6x +1 -4 4x - 20 ✓is not true of any function ✓ is true if f(x) = vis true if f(x) = 5 x² - 6x +4 x < 5 x=5 x>5 5 x 26 x < 5 x=5 x>5 x² - 8x+16 1 3x - 14 x < 5 x=5 x>5 1. The limit lim 5 f(x) does not exist but the function is continuous at x = 5 2. The limit limx→5 f(x) exists but the function is not continuous at x = 5 3. The limit limx→5 f(x) exists and the function is continuous at x = 5 4. The limit lim 5 f(x) does not exist and the function is not continuous at x = 5
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