x0 " Df lim f(x)
xx0
lim f(x) = f(x0)
xx0
x0
Å„Å‚
x2-25
òÅ‚
x = -5

x+5
f(x) =
ół
-10 x = -5
x = -5

x = -5 lim f(x)
x-5
x2 - 25 (x - 5)(x + 5)
lim f(x) = lim = lim = lim (x - 5) = -10 = f(-5)
x-5 x-5 x-5 x-5
x + 5 x + 5
x = -5 x = -5
Å„Å‚
x-2
òÅ‚
x = -2 x = 2

x2-4
f(x) =
ół
1 x = -2 x = 2
x - 2 x - 2 1
lim f(x) = lim = lim = lim
x-2 x-2 x-2 x-2
x2 - 4 (x - 2)(x + 2) x + 2

1 1 1 1
lim = = -" lim = = "
x-2- x + 2 0- x-2+ x + 2 0+
x - 2 x - 2 1 1
lim f(x) = lim = lim = lim = = f(2) = 1

x2 x2 x2 x2
x2 - 4 (x - 2)(x + 2) x + 2 4
x = 2 f(2) = 1
Å„Å‚ Å„Å‚

òÅ‚ -x x
òÅ‚ -x

x < 0 x " (0, 3)
x-3 x-3 x-3

f(x) = = =

x x x
x - 3 ół x-3 x-3 0 ół x-3 x " (-", 0 *" (3, +")
x = 0
Å„Å‚
x2-x
òÅ‚
x = 1

|1-x|
f(x) =
ół
1 x = 1