If f(x)= array cc 3^ x , & -1 x 1 4-x, & 1<x 4 array , . then f (x) is
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \(f(x)=\left\{\begin{array}{cc}
3^{x}, & -1 \leq x \leq 1 \\
4-x, & 1
- continuous as well as differentiable at x = 1
- continuous but not differentiable at x = 1
- differentiable but not continuous at x = 1
- none of the above
Answer
(B) continuous but not differentiable at x = 1
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