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3.9.E6 - MaRDI portal

3.9.E6 (Q1372)

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3.9.E6
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    Statements

    DLMF defining formula
    π 4 = 1 - 1 3 + 1 5 - 1 7 + ⋯ = 1 2 ⁢ ( 1 + 1 ! 1 ⋅ 3 + 2 ! 3 ⋅ 5 + 3 ! 3 ⋅ 5 ⋅ 7 + ⋯ ) . 4 1 1 3 1 5 1 7 ⋯ 1 2 1 1 ⋅ 1 3 2 ⋅ 3 5 3 ⋅ 3 5 7 ⋯ {\displaystyle{\displaystyle\frac{\pi}{4}=1-\frac{1}{3}+\frac{1}{5}-\frac{1}{7% }+\cdots=\frac{1}{2}\left(1+\frac{1!}{1\cdot 3}+\frac{2!}{3\cdot 5}+\frac{3!}{% 3\cdot 5\cdot 7}+\cdots\right).}}
    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.m2adec
    0 references
    Q10729
    DLMF defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references

    Identifiers

     
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