求极限 lim _(xarrow 1)dfrac (ln [ cos (x-1)] )(1-sin dfrac {pi )(2)x}

1.求下列极限:-|||-(1) lim _(xarrow 0)dfrac (sin 2x)(x);-|||-(3) lim _(xarrow dfrac {p

求极限 lim _(xarrow 1)(dfrac (x)(x-1)-dfrac (1)(ln x)) .

1.求下列极限：（2）lim _(xarrow dfrac {pi )(2)}dfrac (ln sin x)({(pi -2x))^2}1.求下列极限：（2）

求极限lim _(xarrow 0)((dfrac {sin x)(x))}^dfrac (1{ln (1+{x)^2)}}求极限

[题目]求极限 lim _(xarrow infty )((sin dfrac {2)(x)+cos dfrac (1)(x))}^x= __

求极限：lim _(xarrow infty )((sin dfrac {1)(x)+cos dfrac (1)(x))}^x-|||-__ __求极限：

lim _(xarrow 1)dfrac (sin pi x)(x-1);-|||-__

求极限lim _(xarrow 0)dfrac (1)({x)^3}[ ((dfrac {2+cos x)(3))}^x-1] -|||-__求极限

[题目]求极限 lim _(xarrow 0)dfrac (3sin x+{x)^2cos dfrac (1)(x)}((1+cos x)ln (1+x))

1.求极限 lim _(xarrow 0)(dfrac (1)(ln (1+x))-dfrac (1)(sin x))