If _ x 0 ( a^ x +b^ x +c^ x 3 )^ / x , (a, b, c, λ > 0) is equal to
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If \(\lim _{x \rightarrow 0}\left(\frac{a^{x}+b^{x}+c^{x}}{3}\right)^{\lambda / x},\) (a, b, c, λ > 0) is equal to
- 1, if λ = 1
- abc, if λ = 1
- abc, if λ = 3
- (abc)2/3, if λ = 2
Answer
(C) abc, if λ = 3, (D) (abc) 2/3 , if λ = 2
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