Arithmetic-Exponential Progression!

Algebra Level 4

0.50.70.9...\Large 0.5^{0.7^{0.9^{.^{.^.}}}}

Find the value of the infinite power tower above, which is formed from an arithmetic progression 0.5, 0.7, 0.9, ....

Manuel Kahayon by Manuel Kahayon
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