The limit of sequence 2 , 2 2 , 2 2 2 ....... is

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

The limit of sequence \(\sqrt{2}, \sqrt{2 \sqrt{2}}, \sqrt{2 \sqrt{2 \sqrt{2}}}\) ....... is
  1. a rational number
  2. 2
  3. is an irrational number
  4. \(2 \sqrt{2}\)

Answer

(A) a rational number, (B) 2

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