Explanation Given information: f ( x ) = x − 8 x − 64 . In the function f ( x ) = x − 8 x − 64 , x is defined for all x ≥ 0 and f ( x ) is undefined at x = 64 . So, the domain of f ( x ) will be D : { x ∈ R | x ≥ , x ≠ 64 } . Check limit at x = 64 . lim x → 64 f ( x ) = lim x → 64 x − 8 x − 64 lim x → 64 f ( x ) = lim x → 64 x − 8 ( x − 8 ) ( x + 8 ) lim x → 64 f ( x ) = lim x → 64 1 ( x + 8 ) [ Cancel out ( x − 8 ) ] Apply the limit

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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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, Problem 62SP

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To decide whether the function is continuous on the given interval. If not, define or redefine the function at one point to make it continuous everywhere on the given interval.

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Chapter 2, Problem 61SP

Chapter 2, Problem 63SP

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Chapter 2 Solutions

Calculus

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To decide whether the function is continuous on the given interval. If not, define or redefine the function at one point to make it continuous everywhere on the given interval.

Solution Summary: The author explains that the function is continuous for xge 0. Discontinuity can be removed at point x=64 and function

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To decide whether the function is continuous on the given interval. If not, define or redefine the function at one point to make it continuous everywhere on the given interval.

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Chapter 2 Solutions