Assertion (A): f(x)= {3 x-8, x ≤ 5; 2 k, x>5} is continuous at x=5 for k =5/2. Reason (R): For a function f to be continuous at x=a, lim_x → a^-…

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