_ x 0 ( a^ x +b^ x 2 )^ 1 / x equals to :
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
\(\lim _{x \rightarrow 0}\left(\frac{a^{x}+b^{x}}{2}\right)^{1 / x}\) equals to :
- \(\text { ab }\)
- \(\sqrt{a b}\)
- \(\frac{1}{a b}\)
- \(\frac{1}{\sqrt{a b}}\)
Answer
(B) a b
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