Explanation Given: The graph of a function s . Concept Used: The limit of a function f ( x ) at x = a is l that is, lim x → a f ( x ) = l if lim x → a − f ( x ) = lim x → a + f ( x ) = l Also, the function f ( x ) is continuous if lim x → a f ( x ) = f ( a ) . Calculation: The graph of function s illustrated is a curve passes through the origin. At x = 3 π 2 Calculating the limit of s ( x ) at x = 3 π 2 . From left direction. Since, the function s ( x ) approaches to − 1 as x approaches to 3 π 2 from left direction. that is, lim x → 3 π 2 − s ( x ) = − 1 . From right direction Since, the function s ( x ) approaches to − 1 as x approaches to 3 π 2 from right direction

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 2.1, Problem 16PS

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ToDescribeThe given illustration using a limit statement

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Chapter 2.1, Problem 15PS

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Chapter 2 Solutions

Calculus

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ToDescribeThe given illustration using a limit statement

Solution Summary: The author illustrates the function s using a limit statement.

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Chapter 2 Solutions