Back to 12.1 Finding Limits: Numerical and Graphical Approaches

12.1 Exercise 59

Avg difficulty 2.5

According to the Theory of Relativity, the mass $m$ of a particle depends on its velocity $v$ . That is

m = \frac{m_{o}}{\sqrt{1 - \left(v^{2} / c^{2}\right)}}

where $m_{o}$ is the mass when the particle is at rest and $c$ is the speed of light. Find the limit of the mass, $m ,$ as $v$ approaches $c^{-} .$

OpenStax Precalculus 2e, 12.1 Finding Limits: Numerical and Graphical Approaches, exercise 59

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.