# The product of all natural numbers

Calculus Level 4

Let $$x$$ denote the product of all natural numbers (excluding zero).

$$x = 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times \ldots$$

This is a divergent product. Using zeta function regularization, find the value of $$x$$.

×