Explanation Given information : The statement “ lim x → 1 x − 3 x 2 + 2 x − 4 = lim x → 1 ( x − 3 ) lim x → 1 ( x 2 + 2 x − 4 ) .” Consider the provided statement “ lim x → 1 x − 3 x 2 + 2 x − 4 = lim x → 1 ( x − 3 ) lim x → 1 ( x 2 + 2 x − 4 ) .” Recall the quotient law of limits, which is given two functions m ( x ) and n ( x ) the quotient of limit as x tends to k of the individual function is equal to limit of the quotient provided that limit of the denominator is not zero. That is, lim x → k m ( x ) n ( x ) = lim x → k m ( x ) lim x → k n ( x )

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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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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Question

Chapter 2, Problem 5TFQ

To determine

To find: Whether the statement “ limx→1x−3x2+2x−4=limx→1(x−3)limx→1(x2+2x−4) .” is true or false.

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Chapter 2 Solutions

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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

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Whether the statement “ lim x → 1 x − 3 x 2 + 2 x − 4 = lim x → 1 ( x − 3 ) lim x → 1 ( x 2 + 2 x − 4 ) .” is true or false.

Solution Summary: The author explains the quotient law of limits, which is given two functions m(x) and

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To find: Whether the statement “ limx→1x−3x2+2x−4=limx→1(x−3)limx→1(x2+2x−4) .” is true or false.

Chapter 2 Solutions