lim _(xarrow -1)dfrac (x-{x)^3}(sin pi x)=

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

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

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

lim _(xarrow 0)dfrac ({e)^x-(e)^-x}(sin x)=()-|||-__。。

lim _(xarrow dfrac {pi )(2)}((sin x))^tan x=（ ）（ ）

lim _(xarrow 0)dfrac ({e)^x-(e)^sin x}(x-sin x)..

lim _(xarrow pi )dfrac (sin 3x)(tan 5x);;

lim _(xarrow pi )dfrac (sin 3x)(tan 5x)。。

lim ((sin x))^tan x-|||-arrow dfrac (pi )(2)

(2) lim _(xarrow 0)dfrac ({e)^x-(e)^-x}(sin x);