defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Limit and Continuity Evaluation of Limits
\(\lim _{x \rightarrow 0} \operatorname{cosec} x\left(\sqrt{2 \cos ^{2} x+3 \cos x}-\sqrt{\cos ^{2} x+\sin x+4}\right)\) is
1
0
2
\(\frac{1}{2 \sqrt{5}}\)
3
\(\frac{1}{\sqrt{15}}\)
4
\(-\frac{1}{2 \sqrt{5}}\)