granice0001.pdf

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lill---
x-+7 x 2 -49
Urn 3-J)+X
x-4 l-g::x
l!ffix( R+1 -x).
lim I-JCOSi
x-+O x 2
lim Jl+Sillx-JI=SIDx
x-+O
Urn ./i-I
x-+I x-l
li .rr+x- Jr=x
nn x
x-+O
limxsinł-
X-+OO
r
(2x-I)X
x
lim l-e- X
x-+O sin2x
lim( .ŁL) x+2
x-+OO x+3
I
lim(l + sinJX) 2ft
x-O
li J2 -JI+cOs2X
lill . 2
x-+O sm x
lim ~_e-r
x-o sin3x
lim( x2+1 )x
x-+OO x2-1
lim_ x_ 2_
x-+O /I+X-I
lim tanx-smx
x-O xl
lim ~~l
x-+O xsin3x
2
lim fan2x
x-+O sin5x
lim x 2 +x-2
x-s l x3-x2-x+1
lim(l + sin2x)-i:J
x-o
lim l-cos./i
x-+O tanx
lim x 3 +3x 2 +2x
x-+-2 x 2 -x-6
lim( 3x+2 )x.
x-+oo 3x-:4
lim eft-l
x-+O JSIill
lim .rr::x-I
x-+2 x 2 +x-6
lim (x-I) J2X=f
x-+ 1 l-x 3
lim(Jn 2 +5n+l
lim (x-2)~
x-+2 4-x 2
n-+oo
-Jn 2 +8n)
u x-./i
nn--
x-+O fi
·2 r:
l. x -"x
lim(_l __ 3 )
x-+l l-x l-x 3
lill--
x-+I ./X-I
lim(COSX) s~r
»-o
lim(COSXr
x-+O
lim(Jx 2 -5x+6
-2
lim ./i-I
x-+ l Vi-I
lim ~n5x
x+O sm2x
lim x-~2x
x-+O x+sm3x
x-+OO
-x)
dr A Misiak
2-;x::3
x!m
2x+2
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