For function f ( x )= n x x which of the following statements are true.
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
For function \(\mathrm{f}(\mathrm{x})=\frac{\ell \operatorname{n} \mathrm{x}}{\mathrm{x}}\) which of the following statements are true.
- f (x) has horizontal tangent at x = e
- f (x) cuts the x–axis only at one point
- f (x) is many – one function
- f (x) has one vertical tangent
Answer
(A) f (x) has horizontal tangent at x = e, (B) f (x) cuts the x–axis only at one point, (C) f (x) is many – one function
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