# Prime Factorial Reciprocals

Calculus Level 3

$\large \sum_{n=1}^\infty\dfrac{(-1)^{n+1}p_{n+1}}{P_n}$

Let $$p_n$$ be the $$n\text{th}$$ prime number. Let $$P_n$$ be the product of the first $$n$$ primes. Which choice describes the summation above?

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