Infinitésimos equivalentes

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Infinitésimos equivalentes
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x→∞
x→0
sen x
≅
x
sen
1
x
≅
1
x
tan x
≅
x
tan
1
x
≅
1
x
arcsen x
≅
x
arcsen
1
x
≅
1
x
arctan x
≅
x
arctan
1
x
≅
1
x
1 − cos x
≅
x2
2
1 − cos
1
x
≅
1
2x2
x ln a
a1 / x − 1
ax −1
≅
ln(1 + x)
(1 + ax)
1/ x
≅
⎛ 1⎞
ln⎜1 + ⎟
x⎠
⎝
x
≅
ln a
x
≅
e
a
⎛ a⎞
⎜1 + ⎟
x⎠
⎝
1
x
≅
x
≅
ea
k
(1 + x) − 1
k
≅
kx
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⎛ 1⎞
⎜1 + ⎟ − 1
x⎠
⎝
≅
k
x
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