Math Archive (13)

Calculus Level 5

F(x)=(1+1x)x,G(x)=(1+1x)x+1 \large F(x) = \left(1 + \dfrac1x\right)^x , \quad G(x) = \left(1 + \dfrac1x\right)^{x+1}

Given the two functions above for all x>0 x> 0 . Which of the following is an increasing function for positive xx?


This question is submission of Problem Writing Party (May 2016).
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