a) Give an example of a function f : [−2, 3] → R which is not continuous at 1 but which is integrable   b) Give an example of a function f : [−2, 2] → R which is not differentiable at −1 but which is continuous at −1 - please include all steps and working with explanation

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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  1. a) Give an example of a function f : [−2, 3] → R which is not continuous

    at 1 but which is integrable

 

b) Give an example of a function f : [−2, 2] → R which is not differentiable

at −1 but which is continuous at −1

- please include all steps and working with explanation 

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