Explanation Given: lim x → 0 [ sin 3 x x ] . Calculation: Graph the function: From the graph form a table: x y = sin 3 x x − 2 − 0.1397 − 1 0.1411 0 undefined 1 0.1411 2 − 0.1397 Calculate limit as x tends to 0

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 41PS

To determine

To estimate:The limit for the function.

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Chapter 2.1, Problem 40PS

Chapter 2.1, Problem 42PS

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1. Evaluate lim = X-0 A. 0 B. 31 tan ³3x x³ C. 27 D.00

Complete the following tables of values to investigate. Write your answer in the space provided after each number and given. ANSWERS SHOULD BE ROUNDED OFF UP TO 5 DECIMAL PLACES. lim(x2 – 2x + 4). f(x) f(x) 0.5 0.7 0.95 1.6 1.35 1.05 0.995 1.005 0.9995 1.0005 0.99995 1.00005 1.) 0.5. * Your answer 2.) 0.7* Your answer

-1 Evaluate lim 3x А. 2/3 C. 1/3 В.-2 D. -3

Chapter 2 Solutions

Calculus

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To estimate: The limit for the function.

Solution Summary: The author explains how to estimate the function's limit using limx0[sin3xx].

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To estimate:The limit for the function.

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Chapter 2 Solutions