CBSE Past Year MCQ Quiz - Chapter 5 Class 12 Continuity and Differentiability

Assertion (A) : \(\mathrm{f}(x)=\left\{\begin{array}{cc}3 x-8, & x \leq 5 \\ 2 \mathrm{k}, & x>5\end{array}\right.\) is continuous at \(x=5\) for \(\mathrm{k}=\frac{5}{2}\).
Reason (R) : For a function f to be continuous at \(x=\mathrm{a}\),

$$ \lim _{x \rightarrow \mathrm{a}^{-}} \mathrm{f}(x)=\lim _{x \rightarrow \mathrm{a}^{+}} \mathrm{f}(x)=\mathrm{f}(\mathrm{a}) $$