Which one is greater of two numbers

Which one is greater of two numbers \color{brown}\displaystyle e^{\frac{\pi}{2}} or \color{brown}\displaystyle \frac{3\pi}{2}.

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Nice work
Similar q I remember -
which is bigger e^pi Or pi^e using Calculus

In this we use x. Ki power 1/x @pratyaksh_tyagi

@pratyaksh_tyagi
This was discussed by bprp

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See the methids here
Jagdish sir legendary approach

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