Determine if each function is continuous. If the function is not continuous, find its [x]-axis location and classify each discontinuity. Encircle the letter of the correct answer. -x² +4x-1, x#2 1. f(x)= - -1, x = 2 c. Removable discontinuity at x = 0; Essential discontinuity at x = 3 d. Essential discontinuity at x = 3 a. Removable discontinuity at x = 2 b. Continuous

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Determine if each function is continuous. If the function is not continuous, find its
[x]-axis location and classify each discontinuity. Encircle the letter of the correct answer.
|-x2 +4x-1, x#2
1. f(x) =
-1, x = 2
Removable discontinuity at x = 0;
Essential discontinuity at x = 3
d. Essential discontinuity at x = 3
a. Removable discontinuity at x 2
C.
b. Continuous
Transcribed Image Text:Determine if each function is continuous. If the function is not continuous, find its [x]-axis location and classify each discontinuity. Encircle the letter of the correct answer. |-x2 +4x-1, x#2 1. f(x) = -1, x = 2 Removable discontinuity at x = 0; Essential discontinuity at x = 3 d. Essential discontinuity at x = 3 a. Removable discontinuity at x 2 C. b. Continuous
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