8.设lim_(x to 0) (sin 2x + xf(x))/(x^3) = 1,则lim_(x to 0) (2cos x + f(x))/(x^2) = ____.

设lim_(x to 0) (sin 2x + xf(x))/(x^3) = 1，则lim_(x to 0) (2cos x + f(x))/(x^2) = (

若 lim_(x to 0) (f(2x))/(x) = 2，则 lim_(x to infty) xf((1)/(2x)) = ( )A. $\frac{1}

11.已知lim_(x to 0) (ln(1+frac(f(x))/(x)))(2^x-1)=3，则lim_(x to 0) (f(x))/(sqrt(1+x

求极限lim_(xto0)(xsin x+2cos x-2)/(x^2)-x^(2cos x).2. 求极限$\lim_{x\to0}\frac{x\sin x

3 类似地，可求下列极限lim_(xto0)((1)/(sin^2)x-(cos^2x)/(x^2));3 类似地，可求下列极限$\lim_{x\to0}\le

求极限 lim_(x arrow 0) (3sin x+x^2cos frac1x)/((1+cos x)ln(1+x))求极限$ \lim_{x \right

3.计算下列极限(1) lim_(x→2)(-2) ;(2) lim_(x→1)(x^3-x^2+x-1) ;21(3)lim_(x→2)(x^2-16)/(x

3.计算下列极限(1) lim_(x→2)(-2) ;(2) lim_(x→1)(x^3-x^2+x-1) ;21(3)lim_(x→2)(x^2-16)/(x

1 设lim_(xto0)(1+x+(f(x))/(x))^(1)/(x)=e^3,则lim_(xto0)(1+(f(x))/(x))^(1)/(x)=____

(2)lim_(xtoinfty)(x^2+cos^2x-1)/((x+sin x)^2)(2)$\lim_{x\to\infty}\frac{x^{2}+\c