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Post Reopened by Fedor Petrov, Neil Strickland, Todd Trimble
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Neil Strickland
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How does the fucntionfunction g(x) behave as x tends to 1?

Post Closed as "Not suitable for this site" by Michael Albanese, Steven Landsburg, Stefan Waldmann, Carlo Beenakker, R.P.
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Neil Strickland
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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?

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 fucntion g(x) behave as x tends to 1?

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 function g(x) behave as x tends to 1?

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How does the fucntion g(x) behave as x tends to 1?

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 fucntion g(x) behave as x tends to 1?