To ask a question of higher numbers is related to the boundedness of functions It is proved that arctanx / 1 + x ^ 2 is a bounded function No idea at all

0 ≤ |arctanx /(1+X^2) | = |arctanx| *1/(1+X^2) ≤ |arctanx| ≤π/2
The upper bound of arctanx / 1 + x ^ 2 is π / 2 and the lower bound is - π / 2

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