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lim {1/[e^(x^2)-1]-1/x} = lim [x+1-e^(x^2)]/{x[e^(x^2)-1)]}(分母等價無窮小代換) = lim [x+1-e^(x^2)]/x^3(0/0) = lim [1-2xe^(x^2)]/(3x^2)=∞
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