Infinitésimos equivalentes
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Infinitésimos equivalentes www.vaxasoftware.com 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 www.vaxasoftware.com ⎛ 1⎞ ⎜1 + ⎟ − 1 x⎠ ⎝ ≅ k x
