# 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 \(x\)?