Let f(x)= array c |x| ; for 0<|x| 2 1 ; for x=0 array , then at x=0, f . has
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let \(f(x)=\left\{\begin{array}{c}
|x| ; \text { for } 0<|x| \leq 2 \\
1 ; \text { for } x=0
\end{array}, \text { then at } x=0, f\right. \text { has }\)
- a local maximum
- no local maximum
- a local minimum
- no extremum
Answer
(C) a local minimum
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