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Is there a pattern in x!-(x-1)!+(x-2)!-(x-3)!...±1? (where x >= 4)?

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  • Is there a pattern in x!-(x-1)!+(x-2)!-(x-3)!...±1? (where x >= 4)?


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If x=1/2, the value of the product (1+x)(1+x^2)(1+x^4)... (1+(x)^(2^n-1) ... (1+x^128) ... Pattern. superres Dec 16, 2002 ...
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Positive: 68 %
Let's compute the first two derivatives to see if there's a pattern: f '(x) = (x/(1+x)) +ln(1+x) f ''(x) = ((1+x) - x)/(1+x)^2 + 1/(1+x) = (2+x)/ ... 4 ...
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Positive: 65 %

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The Lah Numbers and the nth Derivative of e1=x Siad Daboul ... (e1=x) 1 2e1=xx 2 e1=x(2x 3 + x 4) 3 5e1=x ... and then there are x(x 1) ...
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Positive: 68 %
Buy KanexPro VGA Extender over CAT5/6 with Audio ... Cat5e/6 x 2 / VGA output (local) x 1 / 3.5mm stereo x 1 ... 3.25 x 1.4 x 0.8" ...
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Positive: 63 %
... Airy Pattern Intensity and Encircled ... 4 March 2009: Source: Own work ... [x_] := 1 - BesselJ[0, x]^2 - BesselJ[1, x]^2; airyPattern[x_] := (2 ...
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Positive: 49 %
2 4 6 8 6 12 24 48 1 4 ... There is one way to use each number once and only once by making the 6 sequences listed below. + 2 arithmetic. x 2 geometric. x ...
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Positive: 26 %

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