engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Limit and Continuity Evaluation of Limits
Let a = min [x2 + 2x + 3, x ∈ R] and \(\rm b=Lim_{x\rightarrow 0}\frac{\sin x\cos x}{e^x-e^{-x}}\) Then the value of \(\rm \Sigma_{r=0}^na^rb^{n-r}\) is-
1
\(\rm \frac{2^{n+1}+1}{3.2^n}\)
2
\(\rm \frac{2^{n+1}-1}{3.2^n}\)
3
\(\rm \frac{2^{n}-1}{3.2^n}\)
4
\(\rm \frac{4^{n+1}-1}{3.2^n}\)