Let f(x)=x^ ( 1 x ) . when x ≠ 0 and f (x) = 0, when x = 0. Then f (x) will be…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let \(f(x)=x^{\beta} \cos \left(\frac{1}{x}\right) .\) when x ≠ 0 and f (x) = 0, when x = 0. Then f (x) will be differentiable at x = 0 if :
- p > 0
- p > 1
- 0 < p < 1
- \(\frac{1}{2}
Answer
(B) p > 1
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