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討論串[微積] 幾題微積分
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1.令 y = 1/x , 則當 x→∞ 時 , y→0. lim (1 - 3/x + 6/(x^2))^x. x→∞. = lim (1 - 3y + (6)(y^2))^(1/y). y→0. = lim e^((ln((1 - 3y + (6)(y^2))^(1/y)))). y→0. =
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1.lim (1-3/x+6/x^2)^x. x->無窮大. 2.Find the tangent plane to the surface sin(x+y+z)=xyz at pt.(1.-1.0). 3.The 3rd-degree Taylor polynomial of f(x)=sin(e
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