Teaching HSSC TGT 2023 Mock Test (Latest Pattern) Mathematics Limit and Continuity Continuity of a function
If f(x) = \(\left\{\begin{array}{l}\rm mx+1, \text { if } x \leq \frac{\pi}{2} \\ \sin \rm x+n, \text { if } x>\frac{\pi}{2}\end{array}\right.\), is continuous at x = \(\frac{\pi}{2}\), then
1
m = 1, n = 0
2
m = \(\frac{n \pi}{2}\) + 1
3
n = \(\rm \frac{m \pi}{2}\)
4
m = n = \(\frac{\pi}{2}\)
5
Not Attempted