Grade upto college level Differential Calculus
f(x+a)= 1/2 + sqrt(f(x)-(f(x))^2) holds for all x. Prove that the function is periodic
f(x+a)= 1/2 + sqrt(f(x)-(f(x))^2) holds for all x. Prove that the function is periodic
1 Answer
Parvez ali
Approved Tutor Answer12 Years agof(x+a)= 1/2 + sqrt(f(x)-(f(x))^2)
thus f(x+a)>1/2,
f(x+2a)= 1/2 + sqrt(f(x+a)-(f(x+a))^2)
now see the image for further calculations
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