engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Limit and Continuity Existence of a Limit
Let \(\rm f(x) = \left\{\begin{matrix} 1+\frac{x}{2k}, & 0 < x < 2\\\ kx, & 2 \le x < 4 \end {matrix}\right.\)
If \(\displaystyle\lim_{x\rightarrow 2}\) f(x) exists, then what is the value of k?
1
-2
2
-1
3
0
4
1