lim(x→1)(x^2-2x+1)/lnx-x+1

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lim(x→1)(x^2-2x+1)/lnx-x+1
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lim(x→1)(x^2-2x+1)/lnx-x+1
lim(x→1)(x^2-2x+1)/lnx-x+1

lim(x→1)(x^2-2x+1)/lnx-x+1
lim(x→1)(x^2-2x+1)/lnx-x+1 0/0的形式,应用罗必达
=lim(x→1) (2x-2)/(1/x -1) 0/0的形式,应用罗必达
=lim(x→1) 2/(-1/x^2)
=-2

lim(x→1)(x^2-2x+1)/[lnx-x+1]
=lim(x→1)(x^2-2x+1)'/(lnx-x+1)'
=lim(x→1)(2x-2)/(1/x-1)
=lim(x→1)[2x(x-1)/(1-x)]
=lim(x→1)[-2x]
=-2

lim x→1 x-1/x^2-x Lim [x^2/(x^2-1)]^x (x→∞) lim(1+x/x)2x (x→∞) lim(x→0)e^x-x-1/x^2 lim(1-x)^(2/x) x->0 lim(x)lim(x→∞) [(x-1)/(x+1)]^2x 为什么 lim(x->∞) {[(-2)/(x+1)]*2x} = -4 x/2-1lim(1-2/x)x→∞ lim(x→0)(1-2x)^1/x 极限? lim(x→∞)(1-2/x) (x+1)次方 lim 2（1+x）^1/x x→0 lim(x→1) (1-x)tan(π/2)x lim(x→∞)[1+(1/x)]^x/2 lim(x→∞)(1-2/x)^2x 极限lim(x→0)(1-2/x)^x lim x→∞(2x+1)/(3x-4) lim(x→0) (e^(-1/x^2))/x^100 lim(x→0)(2-e^x)^(1/x) lim(x→0)2x^3-x+1