defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Limit and Continuity Continuity of a function
If the function
\(f(x)=\left\{\begin{array}{cc} \frac{2}{x}\left\{\sin \left(k_{1}+1\right) x+\sin \left(k_{2}-1\right) x\right\} & , x<0 \\ 4 & , x=0 \\ \frac{2}{x} \log _{e}\left(\frac{2+k_{1} x}{2+k_{2} x}\right) & , x>0 \end{array}\right.\)
is continuous at x = 0, then k12 + k22 is equal to
1
8
2
20
3
5
4
10