Attractive

Calculus Level 5

(14+14)(34+14)((2n1)4+14)(24+14)(44+14)((2n)4+14) \large \frac{\left(1^4 + \frac14\right)\left(3^4 + \frac14\right)\cdots \left((2n-1)^4 + \frac14\right)}{\left(2^4 + \frac14\right)\left(4^4 + \frac14\right)\cdots \left((2n)^4 + \frac14\right)}

Given that the expression above can be simplified to (an2+bn+c)1 (an^2+ bn + c)^{-1} for constants a,b,ca,b,c, find 21(ab+c)21(a-b+c) .

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