I am looking for a way to show that his infinite product converges, but I am not sure how to go about it. Any hint would be great.
$$\prod_{j=1}^{\infty}\left(1+\frac{x}{j}\right)^{-1}\left(1+\frac{1}{j}\right)^{x}$$
2026-02-25 13:20:30.1772025630
Show convergence of this infinite product
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