Explanation Given: The given limit is lim x → 0 + x 4 Concept Used: The limit lim x → c − f ( x ) is equals to L, if the number f ( x ) can be made close to L as we please by choosing x sufficiently close to c on an interval ( b , c ) immediately to the left of c. Calculation: In order to evaluate the limit lim x → 0 + x 4 . Let’s form a table of values of f ( x ) = x 4 , choosing values of x sufficiently close to 0, say 0.2 , 0.1 , 0.01 , and 0.001 on interval ( 0 , b ) for any positive real value b. Since, f ( 0.2 ) = ( 0.2 ) 4 = 0.0016 , f ( 0.01 ) = ( 0.01 ) 4 = 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 19PS

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To evaluate the given limit limx→0+x4 .

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Chapter 2.1, Problem 18PS

Chapter 2.1, Problem 20PS

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Chapter 2 Solutions

Calculus

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To evaluate the given limit lim x → 0 + x 4 .

Solution Summary: The author explains that the given limit limxcf(x) is equal to L, if x is sufficiently close to c on an interval (b,c).

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To evaluate the given limit limx→0+x4 .

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Chapter 2 Solutions