show that the sum of infinite series 1-1/2×3/4+1/2×3/4×5/6×7/8-1/2×3/4×5/6×7/8×9/10×11/12+... is 1/2(1+√2)½
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show that the sum of infinite series 1-1/2×3/4+1/2×3/4×5/6×7/8-1/2×3/4×5/6×7/8×9/10×11/12+... is 1/2(1+√2)½
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1-1/2×3/4+1/2×3/4×5/6×7/8-1/2×3/4×5/6×7/8×9/10×11/12+... is 1/2(1+√2)½
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