defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Limit and Continuity Evaluation of Limits
If \(\lim _{x \rightarrow \infty}\left(\left(\frac{e}{1-e}\right)\left(\frac{1}{e}-\frac{x}{1+x}\right)\right)^{x}\) = α, then the value of \(\frac{\log _{e} \alpha}{1+\log _{e} \alpha}\) equals :
1
e
2
e-2
3
e2
4
e-1