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limx趋近于0ln(1-2x)+2xf(x)?

x->0ln(1-2x) = (-2x) -(1/2)(-2x)^2 +o(x^2)=-2x - 2x^2 +o(x^2)lim(x->0) [ln(1-2x)+2xf(x) ]/x^2 =0=>x->02xf(x) =-[-2x - 2x^2 +o(x^2)] f(x) = 1+x +o(x)f'(0) = 1

匿名回答于2024-06-06 10:02:48


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