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guslSpecial Relativity (SR) is more general than Newtonian Mechanics (NM), right?
We say that the laws of SR reduce to the laws of NM when (v/c)^2 goes to 0, correct?
But (v/c)^2 = 0 implies that v = 0 (which makes sense, since this is required for the theories to agree exactly).
So how can I formalize the fact that NM is an approximation to SR at small speeds? Is the above good enough just because (v/c)^2 decreases faster than v as v -> 0?
We say that the laws of SR reduce to the laws of NM when (v/c)^2 goes to 0, correct?
But (v/c)^2 = 0 implies that v = 0 (which makes sense, since this is required for the theories to agree exactly).
So how can I formalize the fact that NM is an approximation to SR at small speeds? Is the above good enough just because (v/c)^2 decreases faster than v as v -> 0?