Which of the following is correct for continuity/discontinuity of the function 1-VI- -10 A) f is continuous at x= 0. B) f has a jump discontinuity at x= 0. C) f has a removable discontinuity at x 0. D) Nothing can be said. E) f has an infinite discontinuity at x 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the following is correct for continuity/discontinuity of the function
[1-V1-x²
-1<x<0
xIn(1-x)
f:[-1,0)→R, f(x) = {
1
x= 0
at x=0 ?
cos Vx-1
• x>0
A) f is continuous at x= 0.
B) f has a jump discontinuity at x= 0.
C) f has a removable discontinuity at x 0.
D) Nothing can be said.
E) f has aninfinite discontinuity at x= 0.
Transcribed Image Text:Which of the following is correct for continuity/discontinuity of the function [1-V1-x² -1<x<0 xIn(1-x) f:[-1,0)→R, f(x) = { 1 x= 0 at x=0 ? cos Vx-1 • x>0 A) f is continuous at x= 0. B) f has a jump discontinuity at x= 0. C) f has a removable discontinuity at x 0. D) Nothing can be said. E) f has aninfinite discontinuity at x= 0.
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