Explanation Given information: Consider the equation f ( x ) = { sin x ; x < π 4 cos x ; x ≥ π 4 Calculation: From the given data the function f is continuous for x < π 4 , x > π 4 So, we have to verify the continuity at x = π 4 lim x → π 4 − f ( x ) = lim x → π 4 −

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Question

Chapter 2.5, Problem 34E

To determine

To prove: that the function f is continuous on (−∞,∞)

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Chapter 2.5, Problem 33E

Chapter 2.5, Problem 35E

Chapter 2 Solutions

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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To prove: that the function f is continuous on ( − ∞ , ∞ )

Solution Summary: The author explains that the function f is continuous at x=pi 4.

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To prove: that the function f is continuous on (−∞,∞)

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Chapter 2 Solutions