Physicists have observed that Einstein's theory of special relativity reduces to Newtonian mechanics in the limit as c → 00, where c is the speed of light. This is illustrated by a stone tossed up vertically from ground level so that it returns to Earth 1 s later. Using Newton's Laws, we find that the stone's maximum height is h = 8/8 m (g = 9.8 m/s²). According to special relativity, the stone's mass depends on its velocity divided by c, and the maximum height is h(c) = c/c2/g² +1/4 – c² /g Prove that lim h(c) = g/8. c00

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