_ x 0 ( a^ x +b^ x 2 )^ 1 / x equals to :

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

\(\lim _{x \rightarrow 0}\left(\frac{a^{x}+b^{x}}{2}\right)^{1 / x}\) equals to :
  1. \(\text { ab }\)
  2. \(\sqrt{a b}\)
  3. \(\frac{1}{a b}\)
  4. \(\frac{1}{\sqrt{a b}}\)

Answer

(B) a b

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