3) For a, B ER and 3 > 0, let f(x') = {xª sin(]r|-#),when x + 0when x = 06.Find the range of a and B (and justify your answer) such that(a) f(x) is continuous at x = 0.(b) f'(x) exists at x = 0.(c) f'(x) is continuous at x = 0.

Continuity and differentiability

Answered: ) For a, 3 ER and B > 0, let f(x) ={}…

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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) For a, 3 ER and B > 0, let f(x) ={} x° sin(|x|-#), when x # 0 when x = 0 0, ange of a and B (and justify your answer) such that is continuous at x = 0. exists at x = 0.