x3-2x2 x-2
"
lim lim
x-2
8-x2-2
x2 x2
x-5
lim
x-2+ x+2
x+1
"
lim
3
x+1
x x-1
1-x2
lim e
x1
sin x
lim
lim (x7 + 2x4 + 3x + 1)
tg 2x
x0
x-"
Å„Å‚ Å„Å‚
ôÅ‚ x -1, ôÅ‚
òÅ‚0 òÅ‚2 x = -2, x = 0, x = 2,
f(x) = - 2x + 3 - 1 < x 2, f(x) = - x2 0 < |x| < 2,
x2 4
ôÅ‚ ôÅ‚
ółx + 1 ół4 |x| > 2.
x > 2.
Å„Å‚
1
ôÅ‚x x < -1,
2
òÅ‚

x
2 arc tg x " (-", 0] *" (1, +"), f(x) = (x + 2)2 - 1 x 2,
x-1
f(x) = " ôÅ‚
ół3x x > 2.
-Ä„ x x " (0, 1].
a " R
Å„Å‚
"
ôÅ‚
sin 2x x < Ä„,
òÅ‚2 x x " [0, 1],
f(x) =
5
f(x) = - 2x x " (1, ),
4
a + cos x x Ä„.
2
ôÅ‚
ół2x - 7a x " [ 5 +").
,
2


x
arc tg x " (-", 2),
ln x x > 0,
x-2
f(x) =
f(x) =
Ä„x
a · sin x " [2, +").
a + ex-1 x 0.
4