Đề cương ôn tập GIẢI TÍCH i

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,-'.($,./01%-$23#;
limx→xo+f(x)=limx→xo-f(x)=f(xo)
.<;=$,.$>%?%@A"
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E-%Flimx→0+cosxln(x) – cosxln(x + x
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=> Kết luận:…
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f(x,y)
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M22;12 M4(-2;12)
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với y
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, ∃x∈[-1,1]|∃y∈[-1,1]
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-> bảng biến thiên:
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X H!HY 4 H!SH!X H!4 H!'}•€~<•i{]‚'.X.O H!y HHC
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HS!X  HSH] HSSi/$Q H!y"F$,,L.a.v
@/J,L.Y+@\A+B3.'%SC~@b.2+2Q "
y" \'ƒ] ].:K(K(Trần Bình, BT Giải Tích I, trang 351 đến 355);
P9<;ai'(]„A$….a/,†M!8H,-$9?]+FK,W,L."
!C" >]0G.kKa'~;
c!;'WX.(9>f*4)eM GA.5x=xo+ ∆xy=yo+ ∆y
cH;>]0G.k;4)M *4)+M+ D∆x.dfxx
o
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o
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∆x=0,04yo=2; ∆y=0,02
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!!" #$.A.L]‚Kk;
c'}/$;@ac#c!a!CS@%SSk91→5"
@#^;=$k‡X.O./9.uG.OG]Li/n[(xích ma) n/i=1]f(i)
a=$]L-$4>"
!H" I'.A.L,+L.!+WH;
5limx→xo+f(x)=A
limx→xo-f(x)=B∀ A,B=const.Q'+L,+L.!O9A ≠ B +WA = B ≠ f(xo)
Q@VQ{a ∃ !,.$* ±∞ O,9,+L.H"
!S" #$R:$-$$ƒX.OG-.9X.O;
-$!X.O,-$q;%G-'>X!u! )./XHu! %XuD! "
-$.9X.O;
5limt→toxt =aelimt→toyt =∞=>x=a là tiệm cận đứng.
5limt→toxt =∞elimt→toyt =b=>y=b là tiệm cận ngang.
5limt→toxt =∞G-limt→toyt =∞=>và 5limt→toy(t)/x(t)=celimt→toyt -
cx(t)=d
=>y=cx+d là tiệm cận xiên.
!" IJ2^ƒ.01%Kk29M@ƒ;
c!;=$'.($)

C
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cH;;abfx =acf(x)+cbf(x)GA.)
C
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cS;)Jƒ.0k#1%BHKk+"
: 0(tích phân)+∞ sinx/[căn bậc 3của x];/<=1
%Ff*0(tích phân)1 sinx/[căn bậc 3của x] +1(tích phân)+∞ sinx/
[căn bậc 3của x]*f
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H
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)Jf
!
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H
]+limx→+∞sinx/[căn bậc 3của x] =0 hội tụ/f
H
*1(tích phân)
+∞ sinx/[căn bậc 3của x] ƒ.0H
o! G-H *8O,96
!" E%) G-X) ,-HG‚XJ{,:wt G-=$PE;
NAQXBG];,.$
)8C
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x
-1xp *!,.$
)8C
arctan xx*!limn→∞1+1n n*
Ylimx→0ln (x+1)x *!6Toán Học CC tr 93)"
%.@.(%M,+@trang 108, Trần Bình, BTGT 1
Pdd2.%,XmZcX%+XmZPX†6(trang 156, BTGT 1)
axf(t)dt=fx - fa ∀a∈R
αx =ex2 và > e-(1+x)1x?@?ABCD,CD"1
IJˆ) * e-(1+x)1x*e-e1xln (1+x)*-e( eln (1+x)x -1-1)Q]0p 
*8ˆ) *-e( ln1+x x-1)%.@.(%M,+@.)8C
*8ˆ) *-e( [0+x- x2+ ⍬x2 x]/2-1 )*ex2*‰) *8limx→0β(x)/α(x)
=1*8O,96
!" +-$234*9) G) =$4
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• P9<; N/}9,--$'%>FXm†"
\†9a^1%G) .'L+-$,a"
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