Limits and Integrals (hum, yummy)

Calculus Level 5

\[\large \lim_{x\to \infty} \frac{1}{x}\int_{1}^x \frac{1}{t}\tan\left(\frac{\pi t}{2t + 1}\right) dt \]

The limit above has a closed form. Find the limit to 3 decimal places.

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