This Double Summation Concept is GOLD for JEE Advanced | Factorial’s Question of the Day
Автор: Factorial Academy
Загружено: 2025-08-08
Просмотров: 2641
Описание:
This Double Summation Concept is GOLD for JEE Advanced | Factorial’s Question of the Day | JEE 2026 | JEE 2027
In this video, we solve a Double Summation Limit problem by reducing it into a single definite integral.
This technique of simplifying ΣΣ into a single Σ is incredibly powerful and shows up in many chapters like Probability, Coordinate Geometry (3D), and Series in JEE Advanced.
Question:
\lim_{n \to \infty} \frac{1}{n} \sum_{i=1}^n \sum_{j=1}^n \frac{1}{\sqrt{n^2 + (i+j)n + ij}}
Options:
(A) 2(3 + 2\sqrt{2})
(B) 3(2 + 3\sqrt{3})
(C) 2(3 - 2\sqrt{2})
(D) 3(2 - 3\sqrt{3})
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