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e^x-1~x, ——》e^x~x+1, ——》e^2x~2x+1, ——》limx→0 (x+e^2x)^(-1/x) =limx→0 (x+2x+1)^(-1/x) =limx→0 [(1+3x)^(1/3x)]^-3 =e^-3.
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