Explanation Given information: In theory of relativity, the Lorentz contraction formula is denoted by L = L 0 1 − v 2 c 2 where L is the length of object as a function of its velocity v with respect to an observer, L 0 is length of object at rest and c is the speed of light. Formula used: Root law of limits, lim x → b h ( x ) n = lim x → b h ( x ) n , here h ( x ) is any function and n is a positive integer. Calculation: It is provided that in theory of relativity, the Lorentz contraction formula is denoted by L = L 0 1 − v 2 c 2 where L is the length of object as a function of its velocity v with respect to an observer, L 0 is length of object at rest and c is the speed of light. To evaluate, lim v → c − L 0 1 − v 2 c 2 , since L 0 is a constant, apply the Root law of limits that is, lim x → b h ( x ) n = lim x → b h ( x ) n , here h ( x ) is any function and n is a positive integer. lim v → c − L 0 1 − v 2 c 2 = L 0 lim v → c − ( 1 − v 2 c 2 ) Apply the subtraction of limits, &emsp

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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Chapter 2.4, Problem 46E

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To calculate: The value of limv→c−L01−v2c2 , interpret the result and necessity to find the left hand limit.

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Chapter 2.4, Problem 45E

Chapter 2.4, Problem 47E

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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

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The value of lim v → c − L 0 1 − v 2 c 2 , interpret the result and necessity to find the left hand limit.

Solution Summary: The author explains how the Lorentz contraction formula is denoted by L=L_0sqrt1-v2

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To calculate: The value of limv→c−L01−v2c2 , interpret the result and necessity to find the left hand limit.

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Chapter 2 Solutions