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DLMF:4.45.E11 - MaRDI portal

DLMF:4.45.E11 (Q2515)

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DLMF:4.45.E11
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    Statements

    DLMF defining formula
    arctan ⁡ x = π 2 - 1 x + 1 3 ⁢ x 3 - 1 5 ⁢ x 5 + … ; 𝑥 𝜋 2 1 𝑥 1 3 superscript 𝑥 3 1 5 superscript 𝑥 5 … {\displaystyle{\displaystyle\operatorname{arctan}x=\frac{\pi}{2}-\frac{1}{x}+% \frac{1}{3x^{3}}-\frac{1}{5x^{5}}+\dots;}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    Q10790
    DLMF defining formula
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7acdec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1idec
    0 references

    Identifiers

     
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