Converges to pi?

Calculus Level 4

Which one of these converges to π \pi quicker (with fewer iterations)?

A = ∑ x = 1 ∞ ( 1 x − 0.75 − 1 x − 0.25 ) B = 3 + ∑ x = 1 ∞ 3 ( x + 0.25 ) ( 2 x − 0.5 ) ( 4 x − 2 ) ( 4 x + 2 ) \begin{aligned} A & = \sum_{x=1}^{\infty} \left(\frac{1}{x-0.75}-\frac{1}{x-0.25}\right) \\ B & = 3 + \sum_{x=1}^{\infty}\frac{3}{(x+0.25)(2x-0.5)(4x-2)(4x+2)} \end{aligned}

A A B B None of these are equal to π \pi Both are as quick

A Former Brilliant Member by A Former Brilliant Member

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