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Discuss the continuity of the function f(x)= [x², x≤1 1+x, x>1 at x = 1.

Discuss the continuity of the function f(x)= [x², x≤1 1+x, x>1 at x = 1.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 71RE
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Question

q. Please solve and provide detail why does x+1, x<1 doesnot exist

[x², x≤1 1+x, x>1 Discuss the continuity of the function f(x)=- at x = 1.
Transcribed Image Text:[x², x≤1 1+x, x>1 Discuss the continuity of the function f(x)=- at x = 1.
Expert Solution
Step 1: given information

given function f left parenthesis x right parenthesis equals open curly brackets table row cell x squared comma end cell cell x less or equal than 1 end cell row cell 1 plus x comma end cell cell x greater than 1 end cell end table close

To find: continuity of the function at x=1

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