lim _(x arrow 0)(1-mx)^(1)/(x)=e^2，则m=（ ）

lim _(x arrow 0)(x+2 e^x)^(1)/(x-1) = ( ).A. 1B. $\frac{1}{2}$C. $\frac{1}{4}$D.

求极限lim _(arrow 0)dfrac (arcsin ({e)^2x-1)}(ln (1+2x))=-|||-__( )lim _(arrow 0)

lim _(x arrow 2) e^(1)/(2-x) = ( )A. $+\infty$B. 0C. -1D. -2

极限 lim_(x arrow 0) ( (2 + e^frac(1)/(x))(1 + e^(2)/(x)) + (sin x)/(|ln(1+x)|) )

arrow (overrightarrow (x)-(e)^x-1)-|||-(25) lim _(xarrow 0)((1+{x)^2)}^dfrac (1{

极限lim _(x arrow 0) x sin (1)/(x^2)=（ ）A. 1；B. $\infty$；C. 不存在.D. 0；

【例22】(2009,数三) lim _(x arrow 0) (e-e^cos x)/(sqrt[3](1+x^2)-1)=_.【例22】(2009,数三)

(3) (2009-3) lim_(x arrow 0) (e-e^cos x)/(sqrt[3](1+x^2)-1)(3) (2009-3) $\lim_{x

lim_(x arrow 1) (sin^2(x-1))/(x^2)-1$\lim_{x \rightarrow 1} \frac{\sin^{2}(x-1)}

6.求下列各极限:-|||-(1) lim _((x,y)arrow (0,1))dfrac (1-xy)({x)^2+(y)^2} :-|||-(3) lim