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Verhalten im Unendlichen

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

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