.@fire__exit what real world process looks even approximately like 1/x?
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k/d^2 is common in nature (gravity, electrostatic forces)
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but the model breaks down before it hits that limit of d-->0
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energy in a massy particle as speed -> C?
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Slope of an analog clock's hour hand (wrt clock face) goes to (minus) infinity as hour approaches 6 and 12.
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that seems like a cheating since you can fix it by simply rotating the clock. Nothing fundamentally going to infinity.
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reciprocal: f(x) = 1/x, x_lim = 0. Makes sense to consider division primitive since it's axiomatic to a field.
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see other responses... can't think of basic physical process that approximates 1/x well
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Is there a point you want to address behind the claim?
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