【答案】
分析:(1)把
(
轉(zhuǎn)化成
=
,再進(jìn)行計(jì)算.
(2)把
(
-x)轉(zhuǎn)化為
,再進(jìn)行計(jì)算.
(3)因?yàn)?img src="http://thumb.1010pic.com/pic6/res/gzsx/web/STSource/20131024180207371867318/SYS201310241802073718673009_DA/10.png">
≠
,所以
不存在.
(4)把
轉(zhuǎn)化為
cos
+sin
)再進(jìn)行計(jì)算.
解答:解:(1)原式=
=
=-
.
(2)原式=
=a+b.
(3)因?yàn)?img src="http://thumb.1010pic.com/pic6/res/gzsx/web/STSource/20131024180207371867318/SYS201310241802073718673009_DA/28.png">
=1,而=
=-1,
≠
,所以
不存在.
(4)原式=
=
(cos
+sin
)=
.
點(diǎn)評(píng):若f(x)在x
處連續(xù),則應(yīng)有
f(x)=f(x
),故求f(x)在連續(xù)點(diǎn)x
處的極限時(shí),只需求f(x
)即可;若f(x)在x
處不連續(xù),可通過(guò)變形,消去x-x
因式,轉(zhuǎn)化成可直接求f(x
)的式子.