MIND FREAKING.

PROVE THAT

((ab)^Î±+1)^1/Î± < ((ab)^Î²+1)^1/Î² where Î± > Î²

1 Answers

Assuming Î±,Î² >0, consider the function f(x)=(1+c^x)^{1/x}
And prove that for any x>0, f is strictly decreasing and the result follows immediately.

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