Explanation Given information: f ( x ) = ln ( 9 − x 2 ) Calculation: For given function to be positive, ( 9 − x 2 ) > 0 = − x 2 > 9 = x 2 < 9 So, the domain of the given function is (-3, 3). Now, checking the continuity at the value x = 2, Right Hand Left = lim x → 2 + f ( x ) = lim x → 2 + ln ( 9 − x 2 ) = ln 5 Now, finding left hand limit, Left

4th Edition

ISBN: 9781319055905

Author: FRANZOSA

Publisher: VST

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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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Chapter 2.4, Problem 46E

To determine

The domain of the function f(x)=ln(9−x2) and prove that it is continuous in its domain.

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Chapter 2.4, Problem 45E

Chapter 2.4, Problem 47E

Chapter 2 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

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The domain of the function f ( x ) = ln ( 9 − x 2 ) and prove that it is continuous in its domain.

Solution Summary: The author explains the domain of the function f(x)=mathrmln(9-x2) and proves that it is continuous in its domain.

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The domain of the function f(x)=ln(9−x2) and prove that it is continuous in its domain.

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Chapter 2 Solutions