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\(\mathrm{e}^{\pi}>\pi^{\mathrm{e}}\;\;\;or\;\;\;\mathrm{e^{\pi } < \pi ^ { \mathrm { e } }}\)

### Solution

Let’s solve the problem,

Let \(f\) the function defined by,

\[f(x)=\left(1+\frac{1}{x}\right)^{x}\]

\[\huge \Rightarrow e^{\pi}>\pi^{e}\]

Home -> Solved problems -> e^pi or pi^e

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Home -> Solved problems -> e^pi or pi^e