DLMF:4.9.E1 (Q1609)

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DLMF:4.9.E1
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    ln ( 1 + z ) = z 1 + z 2 + z 3 + 4 z 4 + 4 z 5 + 9 z 6 + 9 z 7 + , 1 𝑧 continued-fraction 𝑧 1 continued-fraction 𝑧 2 continued-fraction 𝑧 3 continued-fraction 4 𝑧 4 continued-fraction 4 𝑧 5 continued-fraction 9 𝑧 6 continued-fraction 9 𝑧 limit-from 7 {\displaystyle{\displaystyle\ln\left(1+z\right)=\cfrac{z}{1+\cfrac{z}{2+\cfrac% {z}{3+\cfrac{4z}{4+\cfrac{4z}{5+\cfrac{9z}{6+\cfrac{9z}{7+}}}}}}}\cdots,}}
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