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(4x+1 if x < 5 Let f(x)=36-3x if x>5 20 if x = 5 Determine whether f(x) is continuous at x = 5. If f(x) is not continuous, identify why. O Not continuous: lim f(x) does not exist. 245 O Not continuous: lim f(x) + f(a). z45 O Not continuous: f(5) is undefined. O The function is continuous at x = 5.

(4x+1 if x < 5 Let f(x)=36-3x if x>5 20 if x = 5 Determine whether f(x) is continuous at x = 5. If f(x) is not continuous, identify why. O Not continuous: lim f(x) does not exist. 245 O Not continuous: lim f(x) + f(a). z45 O Not continuous: f(5) is undefined. O The function is continuous at x = 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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4x + 1 if x < 5 Let f(x)=36-3x if x>5 20 if x = 5 Determine whether f(x) is continuous at x = 5. If f(x) is not continuous, identify why. O Not continuous: lim f(x) does not exist. 245 O Not continuous: lim f(x) + f(a). 2-5 O Not continuous: f(5) is undefined. O The function is continuous at a = 5.
Transcribed Image Text:4x + 1 if x < 5 Let f(x)=36-3x if x>5 20 if x = 5 Determine whether f(x) is continuous at x = 5. If f(x) is not continuous, identify why. O Not continuous: lim f(x) does not exist. 245 O Not continuous: lim f(x) + f(a). 2-5 O Not continuous: f(5) is undefined. O The function is continuous at a = 5.
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