The ln⁡2\ln 2 series

Calculus Level 2

1+ln⁡2+(ln⁡2)22!+(ln⁡2)33!+⋯1+\ln2+\frac{(\ln 2)^2}{2!}+\frac{(\ln 2)^3}{3!}+\cdots

The series above has a closed form. Find the value of this closed form.

Give your answer to 2 decimal places.

Dmitri Ivanovich by Dmitri Ivanovich
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