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2.1.E6

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MaRDI QIDQ660

  • Label: 2.1.E6


Digital Library of Mathematical Functions ID 2.1.E6

sin ⁡ ( π ⁢ x + x - 1 ) = O ⁡ ( x - 1 ) , 𝜋 𝑥 superscript 𝑥 1 Big-O superscript 𝑥 1 {\displaystyle{\displaystyle\sin\left(\pi x+x^{-1}\right)=O\left(x^{-1}\right)% ,}}


Constraint(s)

ℤ {\displaystyle{\displaystyle\mathbb{Z}}}
x → ± ∞ → 𝑥 plus-or-minus {\displaystyle{\displaystyle x\to\pm\infty}}
ℤ ℤ {\displaystyle{\displaystyle\mathbb{Z}}}

Symbols List

  • O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • ℤ {\displaystyle{\displaystyle\mathbb{Z}}} :
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
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This page was last edited on 3 March 2024, at 01:34.
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