Limit Formulas Flashcards

To memorize for the AP test

1
Q

lim x->0 sin(x) / x

A

1

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2
Q

lim x->0 x / sin(x)

A

1

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3
Q

lim x->0 1 - cos(x) / x

A

0

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4
Q

lim x->0 cos(x) - 1 / x

A

0

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5
Q

lim x->0 sin(ax) / x

A

a

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6
Q

lim x->0 sin(ax) / sin(bx)

A

a/b

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7
Q

lim x->0 tan(ax) / x

A

a

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8
Q

lim x->c f(g(x))

A

f (lim x->c g(x))

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9
Q

lim x->∞ c/x^r

A

0

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10
Q

lim x->-∞ c/x^r

A

0

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11
Q

lim x->∞ e^-x

A

0

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12
Q

lim x->-∞ e^x

A

0

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13
Q

lim x-> +-∞ sinx/x

A

0

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14
Q

lim x-> +-∞ cosx/x

A

0

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