Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Analysis Supremum & Infimum
If \(\lambda=\left\{\frac{p}{q}+\frac{36 q}{p}: p, q \in \mathbb{N} \right\}\) and \(\lambda_1=\sup (\lambda)\) and \(\lambda_2=\operatorname{in} f(\lambda)\) then
1
\(\lambda_1+\lambda_2=\infty\)
2
\(\lambda_1=\lambda_2=0\)
3
\(\lambda_1-\lambda_2=0\)
4
\(\lambda_1=\lambda_2=\infty\)
5
Question Not Attempted