文档介绍：-
. sin x
1 lim 1
1 x 0 x
x dy
1 dttfy tf xf 1 n 1 u
0 dx 2 1lim e 1lim e
n n u u
2 x
2 dttfy 1 x 2 x tf
1 x 1
1lim v ev
v 0
dy 4
xxfxxf
dx 22 11 5
2
xf 2 xx n
xf 0lim xg 0lim lim l x 0 x 1 xe 0 x n
xg n!!2
1 l 0 xf xg xx 53 x n 12
sin xx 1 n 0 x n 12
!5!3 n !12
0 xgxf xg xf
42 2n
xx n x
x 1cos 1 0 x 2n
!4!2 n !2
2 l 0 xf xg
xx 32 x n
1ln xx n 1 01 x n
3 l 1 xf xg 32 n
~ xgxf xx 53 x n 12
arctan xx 1 n 1 0 x n 12
3 53 n 12
x 0 1 n 11
11 xxx 2 0 xx nn
~sin xx x ~tan x ~arcsin xx x ~arctan x !2 n!
1
~cos1 xx 2 x ~1 xe ~1ln xx
2 6
0
~11 xx 1 1 xf 0lim xg 0lim
0
2 x xf xg
1
2
xf
1 3 lim A
xg
1 1 xx nn n n mx n
xf
lim A
lim n Ax mA
n xg
2 xx n Mx n xf
1 nn n lim
xg
lim n Ax A M
n
xf
lim
2 xhxfxg xg
lim Axg lim Axh lim Axf 2 1 lim xf lim xg
3
2 x xf xg
1 Edited by 2005 10
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xf ,ba x Mxf
3 lim A
xg
M xf ,ba
xf
lim A m
xg
3 xf ,ba
7
M m m
0 xfxxf 0
lim xf 0 [
x 0 x M c ,ba
]
8
cf
1 n k 1
lim f dxxf [ ]
n 0
n k 1 n xf ,ba af
bf ,ba
1
f 0
x xfy xf
0
x x xf
0 0 1
c 0 cd 0
1 1
xx dxxxd
2
cossin xx cossin xdxxd
cos sin xx sincos xdxxd
2 2
sectan xx sectan xdxxd
cot x csc2 x xd ot 2 xdx
,ba xf
tansecsec xxx tansecsec xdxxxd
1 xf ,ba csc cotcsc xxx sc xdxxxd
1
xf ,ba log x aa 1,0
a ln ax
dx
2 xf log xd aa 1,0
a ln ax
1 1
,ba M ln x ln xd dx
x x
m
x x
M m ln aaa aa 1,0
xx
0 Mxf ,ba x0 ln adxada aa 1,0
2 Edited by 2005 10
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ee xx xx dxede t t 0
1 1 dy t
arcsin x arcsin xd dx t 0
1 x 2 1 x 2 dx t
1 1
os x os xd dx
2 2 dy dy
1 x 1 x d d
2 yd dx dx 1 tttt
1 1
arctan x arctan xd dx dx 2 dx dt dx 3
1 x 2 1 x 2 t
1 1 dt
cot xarc cot xdarc dx
1 x 2 1 x 2
5
1
ln axx 22
ax 22 xfy ygx
1
ln axxd 22 dx xf 0
ax 22
11