   Chapter 2.2, Problem 54E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# In the theory of relativity, the mass of a particle with velocity v is m 0 = m 0 1 − v 2 / c 2 where mo is the mass of the particle at rest and c is the speed of light. What happens as v → c–?

To determine

The value of limvcm(v).

Explanation

Given:

The mass of a particle with velocity v is m=m01v2c2,

where m0 is mass of the particle at rest and c is the speed of the light.

Calculation:

As velocity (v) approaches the speed of the light (c) from the left hand side, the value inside the radical is very small and positive

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 