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Verhalten im Unendlichen
3
Limes
2
3
2
f (x) = -x
f (x) = -x + x + 6x
2
3
2
f (x) = -x + x + 6x
3
y
f (100) = -100 = -1.000.000
3
f (1000) = -1000 = -1.000.000000
y
lim f (x) =
x -
-
3
-
x
f (-100) = -(-100) = 1.000.000
3
f (-1000) = -(-1000) = 1.000.000000
lim f (x) = -
x
x
ungerader Grad
gerader Grad
Merke:
y
3
f (x) = x
x
2
f (x) = x
x
y
2
f (x) = -x
negativer Vorfaktor:
x
3
f (x) = -x
x