x→∞ lim x/(3x-1)=1/3 用函数极限定义证明啊!

lim（ x→∞）（1+x / x)^3x lim (1-1/3x)^x x→∞ 求极限lim(1+1/x)^x=e lim(x→∞)[(X^2+2x+5)/(3x^2-x+1) = 求极限 lim [(3+x)/(6+x)]^[(x-1)/2]= x→∞求极限 lim [(3+x)/(6+x)]^[(x-1)/2]=x→∞ f(x)=(2+e^x)/1+e^2x)+ | x|sin1/x求 1)lim[x→+∞]f(x); 2)lim[x→-∞]f(x); 3)lim[x→∞]f(x) lim x→∞(2x+1)/(3x-4) 求lim(x→0)x cos 1/x lim(x→∞)x^2/ (3x-1)的极限 高数【函数极限】lim (1+1/x)=?x→∞lim(1-3x)∧1/(2x)=?x→0lim[(2x+3)/(2x+1)]∧(x+1)x→∞ lim(x+e^3x)^1/x lim（x-3/x+1）^x lim趋向无穷大 lim(x→0)(ln(1+x)-sin3x)/x3=lim(x→0)(x-3x)/x3为什么 lim(x→∞)(4x^3+2x-1)/(2x^3-3x+1) lim(x→∞)[（x^3+x^2+x^1+1)^(1/3) - x] 的极限. lim(x→∞)(2x^3-x^2-3)/(x^3-x+1) lim(x→∞)(x^2+x)/(x^4-3x-1)的极限 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..li f(X)是关于X的一个三次多项式.已知lim[f(x)/(x-2)]=lim[f(x)/(x-4)]=1x→2 x→4 求lim[f(x)/(x-3)]=?x→4 lim x→0 sin2x/sin5xlim x→0 (1-cos2x)/x²lim x→0 in(1-x/2)^1/xlim x→∞ (1+2/x)^2x+1lim x→0 sin2x/sin5xlim x→0 (1-cos2x)/x²lim x→0 in(1-x/2)^1/xlim x→∞ (1+2/x)^2x+1lim x→3 (x-3)cos1/(x-3)lim x→0 (e^sinx-e^x)/(sinx-x)