![Q) Let [β
] denote the greatest integer function.If β«_0^(π^3 )β[1/π^(π₯β1) ]ππ₯=πΌβlog_π 2, then πΌ^3 is](https://i.ytimg.com/vi/3Zas7zImDi4/mqdefault.jpg)
![Q) Let [β’] denote the greatest integer function and π(x)=lim_(nββ)β1/n^3 β_(k=1)^nβ[k^2/3^x ]](https://i.ytimg.com/vi/Z9n4ck8upLY/mqdefault.jpg)
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Last Updated: September 30, 2026
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JeeMains2023MathstoughQuestions TelegramΒ ... For more such exclusive content relevant for Boards | Understand the difference between [y] = sinx, y = [sinx], and y = sin[x] This is one of the most confusing concepts in JEE MAIN 2025 ( 2 April β Shift 1 ) Q27) Let [β ] denote the greatest integer function. If β«_0^(π^3 )β[1/π^(π₯β1 ... JEE MAIN 2026 ( 21 Jan β Shift 2 ) Q) Let [β’] denote the greatest integer function and π(x)=lim_(nββ)β1/n^3 β_(k ... Integration of greatest integer function. Integration of greatest integer function JEE Mains. Integration of greatest integer ... Let L = lim (x β β) xα΅ \(β(x + 1) + β(x β 1) β 2βx\) where p is a non-zero real number. Find pΒ²/L. Concepts Covered:Β ... greatestintegerfunctionmadeeasy
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