JEE Advanced 2018 Paper 1 Mathematics Q11

Mathematics

Problem

For each positive integer m, 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 _____.

Browse the problem library