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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