1. The problem statement, all variables and given/known data Suppose that the velocity of an observer O' relative to O is nearly that of light, |v|=1-ε, 0<ε<<1. Show that the Lorentz contraction formula can by approximated by: ∆x≈∆x'/√(2ε) 2. Relevant equations Lorentz contraction, ∆x=∆x'/γ 3. The attempt at a solution I think it should be ∆x≈∆x'(√(2ε)). (As opposed to divided by the square root of 2ε). Is this a mistake in the book, or am I just being stupid? Don't tell me how to solve it or anything- just if it's a mistake or not; if not, I'll keep trying but I don't want to waste my time if the problem is stated incorrectly. Thanks! Ps. Anybody who likes SR- try out problem 12 from that same chapter, it's very fun :). PPs. Just thinking intuitively, the approximation given by the problem is incorrect because it'd give a longer length measured by observer O, which just makes no sense. The famous effect is a contraction, after all!