Let x 0 be the real number such that e x 0 + x 0 = 0 . For a given real number α, define…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let x0 be the real number such that ex0 + x0 = 0 . For a given real number α, define \(g(x)=\frac{3 x e^{x}+3 x-\alpha e^{x}-\alpha x}{3\left(e^{x}+1\right)}\)for all real numbers x.
Then which one of the following statements is TRUE?
Then which one of the following statements is TRUE?
Answer
(C)
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