A function is defined as follows : f(x)= array cc x^ 3 ; & x^ 2 <1 x ; & x^ 2 1 array …
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
A function is defined as follows :
\(f(x)=\left\{\begin{array}{cc} x^{3} ; & x^{2}<1 \\ x ; & x^{2} \geq 1 \end{array}\right.\)The function is
\(f(x)=\left\{\begin{array}{cc} x^{3} ; & x^{2}<1 \\ x ; & x^{2} \geq 1 \end{array}\right.\)The function is
- discontinuous at x = 1
- differentiable at x = 1
- continuous but not differentiable at x = 1
- none of these
Answer
(C) continuous but not differentiable at x = 1
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