What number should replace the question mark in the expression shown in the image?

The image is too low-resolution to read every term of the expression reliably, so the exact value cannot be determined with confidence.

The visible expression appears to contain several limits, an infinite series, an integral, a product, a logarithm, and a derivative. One or more signs, limits, and exponents are unclear.

Ответ: пришли более чёткое и крупное фото математического выражения.