Explanation Given: The graph of a function f 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 . Calculation: The graph of function f illustrated is a straight line passing through the origin. At x = 2 . Calculating the limit of f ( x ) at x = 2 . From left direction. Since, the function f ( x ) approaches to 8 as x approaches to 2 from left direction. That is, lim x → 2 − f ( x ) = 8 From right direction Since, the function f ( x ) approaches to 8 as x approaches to 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 12PS

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ToDescribeThe given illustration using a limit statement.

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Chapter 2 Solutions

Calculus

Ch. 2.1 - Prob. 1PS Ch. 2.1 - Prob. 2PS Ch. 2.1 - Prob. 3PS Ch. 2.1 - Prob. 4PS Ch. 2.1 - Prob. 5PS Ch. 2.1 - Prob. 6PS Ch. 2.1 - Prob. 7PS Ch. 2.1 - Prob. 8PS Ch. 2.1 - Prob. 9PS Ch. 2.1 - Prob. 10PS

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ToDescribeThe given illustration using a limit statement.

Solution Summary: The author explains how the graph of a function f illustrates the function's limit statement.

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Chapter 2 Solutions