(2017)求极限 lim _(xarrow infty )dfrac (2x-sin x)(x+sin x)

求lim _(xarrow infty )dfrac (sin dfrac {3)(x)}(sin dfrac {2)(x)}求

[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 0)dfrac (x-sin x)(x+sin x)..

lim _(xarrow 0)dfrac (x)(x+sin x)=（）。A.2B.1C.lim _(xarrow 0)dfrac (x)(x+sin x)=D

[题目]求 lim _(xarrow infty )((sin dfrac {2)(x)+cos dfrac (1)(x))}^x

[例1.25] 求极限 lim _(xarrow infty )((sin dfrac {1)(x)+cos dfrac (1)(x))}^x.

4、 lim _(xarrow infty )dfrac (sin x)(x)= __ ;

计算下列极限：(1) lim _(xarrow 0)(x)^2sin dfrac (1)(x);-|||-(2) lim _(xarrow infty )dfr

2.验证极限lim _(xarrow infty )dfrac (x+sin x)(x)存在，但不能用洛必达法则得出。2.验证极限存在，但不能用洛必达法则得出。