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If n E N and an = 2^2 + 4^2 + 6^2 + .......

If n E N and `a_n = 2^2 + 4^2 + 6^2 + ....+ (2n)^2` and `b=1^2 + 3^2 + 5^2 + ...(2n - 1)^2`. Find the value `Lim_(n->oo) ((sqrt(a_n)-sqrt(b_n))/(sqrtn))`

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