_ n (0.2)^ _ 5 ( 1 4 + 1 8 + 1 16 + ton terms ) is equal to

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

\(\lim _{n \rightarrow \infty}(0.2)^{\log _{\sqrt{5}}\left(\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\ldots \text { ton terms }\right)}\)is equal to
  1. 2
  2. 4
  3. 8
  4. 0

Answer

(B) 4

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