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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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