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edpell

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**1905 paper "Does the Inertia of a Body Depend Upon its Energy-Content?**

In his 1905 paper Einstein uses a Taylor expansion and keeps only the first term (an approximation) to derive E=mc^2 which is good if v<<c but if v is not <<c then we need more terms. If we keep the first three terms then mc^2 is divided by

(1 + 3/4(v/c)^2 + 15/8(v/c)^4)

have I done the Taylor series correctly? Do we all agree? This number of terms would be good as long as (v/c)^4 <<1 say up to v=0.4c. Is this correct?

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