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Find the value of L

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Q1. For each positive integer n, let yn = 1/n[(n+1)(n+2).............(n+n)]1/n. For x ∈ R, let [x] be the greatest integer less than or equal to x. If limn→∞ yn = L then the value of [L] is?

Q2. Let ω ≠ 1 be a cube root of unity. Then the minimum of the set {|a + bω + cω2|2 : a, b, c distinct non-zero integers} equals ____.

Reference no: EM132419643

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