If , then the set of values of for which…

MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

If f(x)=lim⁡n→∞1(3πtan⁡−1(2x))2n+5f(x)=\displaystyle\lim_{n\to\infty}\frac{1}{\left(\frac{3}{\pi}\tan^{-1}(2x)\right)^{2n}+5}, then the set of values of xx for which f(x)=0f(x)=0 is (1) ∣2x∣>3|2x|>\sqrt{3} (2) ∣2x∣<3|2x|<\sqrt{3} (3) ∣2x∣≥3|2x|\geq\sqrt{3} (4) ∣2x∣≤3|2x|\leq\sqrt{3}

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