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Question Number 157055 by cortano last updated on 19/Oct/21

Commented by MathSh last updated on 20/Oct/21

$$=\underset{\mathbf{x}\to \mathit{\pi }}{\lim }\frac{{\pi }^{{\mathbf{x}}^{\mathit{\pi }}}\cdot \pi {\mathrm{x}}^{\mathbf{x}-1}\cdot \ln \left(\pi \right)-{\mathrm{x}}^{{\mathit{\pi }}^{\mathbf{x}}}({\pi }^{\mathbf{x}}\cdot \ln \left(\pi \right)\cdot \ln \left(\mathrm{x}\right)+{\pi }^{\mathbf{x}}\cdot \frac{1}{\mathrm{x}})}{1}$$$$...={\pi }^{{\mathit{\pi }}^{\mathit{\pi }}}\cdot {\pi }^{\mathit{\pi }}\cdot (\ln \left(\pi \right)-{\ln }^2\left(\pi \right)-\frac{1}{\pi })\bullet$$

Answered by mathlove last updated on 19/Oct/21

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