# Another problem by G.H. Hardy

Algebra Level 4

Define the function $$\phi(n) = \left(1 + \dfrac1n\right)^n$$.

For $$n \geq 1$$, which is greater, $$\phi(n)$$ or $$\phi(n+1)$$?

Note: A previous version of this problem did not have $$n \geq 1,$$ so those who answered "impossible to determine" and "it depends" have been given credit.

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