【例22】(2009,数三) lim _(x arrow 0) (e-e^cos x)/(sqrt[3](1+x^2)-1)=_.【例22】(2009,数三)
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)|) )
lim _(x arrow 0)(1-mx)^(1)/(x)=e^2，则m=（ ）A. $-1/2$B. $2$C. $-2$D. $1/2$
已 知 lim _(x arrow infty )((x^2)/(1+x)-a x-b)=0, 则两个常 数( ).A. a = - 1, b = - 1B.
极限lim _(x arrow 0) x sin (1)/(x^2)=（ ）A. 1；B. $\infty$；C. 不存在.D. 0；
arrow (overrightarrow (x)-(e)^x-1)-|||-(25) lim _(xarrow 0)((1+{x)^2)}^dfrac (1{
求极限lim _(xarrow 0)cot x(dfrac (1)(x)-dfrac (1)(sin x))-|||-__解法如下，原式lim _(xarrow