1.lim x->∞ （2x/x^2+1)*cosx 2..lim x->∞{ [(x^2-x)arctanx]/x^3-x-5}3..lim x->0 （e^x-e^-x-2x)/(x-sinx) 4..lim x->0 (sinx-x)/(x^3) 5..lim x->0 (x^2*tanx)/(x-tanx) 6..lim x->0 (1+3/x)^2x 7..lim x->0 (1+2x)^(3/sinx) 8.lim x->∞ (x/1+x)^(x-3) 9..lim x->0 (1/(1-x)-3/(1-x^3)) 10..lim x->1 (1/(x-1)-1/lnx)
问题描述：
1.lim x->∞ （2x/x^2+1)*cosx 2..lim x->∞{ [(x^2-x)arctanx]/x^3-x-5}
3..lim x->0 （e^x-e^-x-2x)/(x-sinx) 4..lim x->0 (sinx-x)/(x^3) 5..lim x->0 (x^2*tanx)/(x-tanx) 6..lim x->0 (1+3/x)^2x 7..lim x->0 (1+2x)^(3/sinx) 8.lim x->∞ (x/1+x)^(x-3) 9..lim x->0 (1/(1-x)-3/(1-x^3)) 10..lim x->1 (1/(x-1)-1/lnx)
答
lol
答
1.lim(x→∞) 2x/(x² + 1) * cosx= lim(x→∞) 2/(x + 1/x) * cosx1/x → 0、cosx不定式、2/(x + 1/x) → 2/∞ → 0原式 = 02.lim(x→∞) [(x² - x)arctanx]/(x³ - x - 5)、∞/∞= lim(x→∞) [(x...