For the function f(x)= array cc |x-3|, & x 1 x^ 2 4 - 3 x 2 + 13 4 , & x<1 array . which…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
For the function \[f(x)=\left\{\begin{array}{cc}
|x-3|, & x \geq 1 \\
\frac{x^{2}}{4}-\frac{3 x}{2}+\frac{13}{4}, & x<1
\end{array}\right.\] which of the following is incorrect ?
- continuous at x = 1
- continuous at x = 3
- differentiable at x = 1
- differentiable at x = 3
Answer
(D) differentiable at x = 3
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