The ln2\ln 2 series

Calculus Level 1

1+ln2+(ln2)22!+(ln2)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.

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