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Let A:=8−8−8+8−8−8+⋯ A:=\sqrt{8-\sqrt{8-\sqrt{8+\sqrt{8-\sqrt{8-\sqrt{8+\cdots}}}}}} A:=8−8−8+8−8−8+⋯ B:=9+99+99+99+99+⋯33333 B:=\sqrt[3]{9+9\sqrt[3]{9+9\sqrt[3]{9+9\sqrt[3]{9+9\sqrt[3]{9+\cdots}}}}} B:=39+939+939+939+939+⋯ Find B−A B-A B−A.
Details and assumptions:
The sign pattern in the first radical is (−−+) (--+) (−−+).
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