Show that the linearization of the function y = tanh 1 x at x = 0 is
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Show that the linearization of the function y = tanh−1 x at x = 0 is tanh−1 x ≈ x. Use this to explain the following assertion: Einstein’s Law of Velocity Addition [Eq. (2)] reduces to Galileo’s Law if the velocities are small relative to the speed of light.
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