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Suppose $g:[0,1)→R$ is a continuous function satisfying $g(x^2)=x−g(x)$
for every x on interval $[0,1)$.
How does the fucntionfunction g(x) behave as x tends to 1?
How does the fucntion g(x) behave as x tends to 1?
How does the function g(x) behave as x tends to 1?