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1- Discuss the continuity of the following functions at given poin { V9r4+x² 5x2+3x+1 (a) f(x) = if x <0 if x > 0 at x = 0 (b) f(x) = 1 { x? sin (!) +3 , if x # 0 , if x = 0 %3D at x = 0 1 (r+3)2 2 – x , if – 1 < x < 1 3 r+2 if x < -1 2- If f(x)= - if x >1 Find all values of x where ƒ is not continuous.

1- Discuss the continuity of the following functions at given poin { V9r4+x² 5x2+3x+1 (a) f(x) = if x <0 if x > 0 at x = 0 (b) f(x) = 1 { x? sin (!) +3 , if x # 0 , if x = 0 %3D at x = 0 1 (r+3)2 2 – x , if – 1 < x < 1 3 r+2 if x < -1 2- If f(x)= - if x >1 Find all values of x where ƒ is not continuous.

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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1- Discuss the continuity of the following functions at given points { V9r4+x² 5x2+3x+1 if x < 0 (a) f(x) = if x > 0 at x = 0 (b) f(x) = 1 {; x? sin () +3 , if x +0 , if æ = 0 at x = 0 { 1 (r+3)² 2 - x if x <-1 if – 1< x < 1 , if x > 1 2- If f(x)= | 3 r+2 Find all values of x where f is not continuous.
Transcribed Image Text:1- Discuss the continuity of the following functions at given points { V9r4+x² 5x2+3x+1 if x < 0 (a) f(x) = if x > 0 at x = 0 (b) f(x) = 1 {; x? sin () +3 , if x +0 , if æ = 0 at x = 0 { 1 (r+3)² 2 - x if x <-1 if – 1< x < 1 , if x > 1 2- If f(x)= | 3 r+2 Find all values of x where f is not continuous.
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