Relativistic mechanics
Newtonian limit

The Lorentz factor γ(v) can be expanded into a Taylor series or binomial series for (v / c) < 1, obtaining:

and consequently

For velocities much smaller than that of light, one can neglect the terms with c and higher in the denominator. These formulas then reduce to the standard definitions of Newtonian kinetic energy and momentum. This is as it should be, for special relativity must agree with Newtonian mechanics at low velocities.
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