standardgränsvärden Flashcards

1
Q

tan x/ x > ?

då x > 0

A

1

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2
Q

sin x/ x > ?

då x > 0

A

1

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3
Q

(e^(x) -1)/x > ?

då x > 0

A

1

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4
Q

ln(1+x)/x > ?

då x > 0

A

1

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5
Q

1/x > ?

då x > +-0

A

+-inf

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6
Q

(1 + x)^(1/x) > ?

då x > 0

A

e

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7
Q

arcsin x/x > ?

då x > 0

A

1

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8
Q

arctan x/x > ?

då x > 0

A

1

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9
Q

x^a ln x > ?

då x > 0+

A

0

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10
Q

(1 + 1/x)^x > ?

då x > inf

A

e

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11
Q

(x^n)/(e^x) > ?

då x > inf

A

0

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12
Q

ln x /x > ?

då x > inf

A

0

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13
Q

1/x > ?

då x > inf

A

0

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14
Q

(a^x)/x! > ?

då x > inf

A

0

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15
Q

x!/x^x > ?

då x > inf

A

0

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16
Q

arctan(x) > ?

då x > inf

A

pi/2