Gränsvärden Flashcards

1
Q

Vilken dominerar vilken?

  • Logaritmfunktioner
  • Exponentialfunktioner
  • Potensfunktioner
A

Exponential>Potens>Logaritm

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2
Q

abs(xy)

A

abs(x)*abs(y)

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3
Q

abs(x+y)

A

abs(x)+abs(y)

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4
Q

abs(x-y)

A

abs(x)-abs(y)

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5
Q

limx–>0 (sinx)/x

A

1

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6
Q

limx–>+-oänd (1+1/x)^x

A

e

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7
Q

limx–>oänd (a^x)/(x^a) när a>0, a>1

A

oänd

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8
Q

limx–>oänd (x^a)/(loga(x)

A

oänd

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9
Q

limx–>0 ln(1+x)/x

A

1

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10
Q

limx–>0 ((e^x)-1)/x

A

1

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11
Q

limx–>0+ (x^a)lnx

A

0

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