[INST] Evaluate sqrt(2 -sqrt(2 - sqrt(2 - sqrt(2 - ⋯))))./n [/INST]  ###Response: Letting x= sqrt(2 - sqrt(2 - sqrt(2 - sqrt(2 - ⋯)))), we have x = sqrt(2 - x). Squaring both sides gives x^2 = 2 - x, so x^2 + x -2 = 0. Factoring the left side gives (x+2)(x-1) = 0. Therefore, x=-2 or x=1. Clearly x must be positive, so we have x= 1.