Let A={−3,−2,−1,0,1,2,3,}.LetR be a relation on A defined by xRy if and only if 0≤x2+2y≤4.
Let l be the number of elements in R and m be the minimum number of elements required to be added in R to make it a reflexive relation. then l+m is equal to
Held on 3 Apr 2025 · Verified 6 Jul 2026.
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Let $a_{1}=1$ and for $n \geqslant 1, a_{n+1}=\frac{1}{2} a_{n}+\frac{n^{2}-2 n-1}{n^{2}(n+1)^{2}}$. Then $\left|\sum_{n=1}^{\infty}\left(a_{n}-\frac{2}{n^{2}}\right)\right|$ is equal to $\_\_\_\_$.
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