# Math Archive (13)

Calculus Level 5

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

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

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