CSIR NET June 2026 Maths | QID 458908755 | Sequence of Functions | Lebesgue Measure @MathsLover2023
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CSIR NET June 2026 Maths | QID 458908755 | Sequence of Functions | Lebesgue Measure @MathsLover2023
150 просмотров · 1 месяц назад
Maths Lover
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150 просмотров · 1 месяц назад
In this video, we solve an important CSIR-NET Mathematical Science June 2026 Part B question based on the Sequence of Functions, Pointwise Convergence, Uniform Convergence, Lebesgue Integrability and Differentiability.
The question considers a sequence of functions on [0,1] defined by
fₙ(x) = limₖ→∞ (cos(n!πx))²ᵏ
and asks which statement about the resulting limit function f is correct.
📚 Concepts Covered
✅ Sequence of Functions
✅ Pointwise Limit
✅ Uniform Convergence
✅ Continuity and Discontinuities
✅ Lebesgue Integrability
✅ Differentiability
✅ Rational and Irrational Points
✅ CSIR-NET Part B Conceptual Problem
🎯 Exam: CSIR-NET Mathematical Science
📅 Paper: June 2026
📖 Part: B
🔢 Question ID: 458908755
📌 Topic: Real Analysis / Sequence of Functions
This is an excellent problem for students preparing for CSIR-NET Mathematical Sciences, GATE Mathematics, IIT JAM, SET, NBHM and other competitive mathematics examinations.
Watch the complete solution to understand the underlying concept and learn how to identify the correct option efficiently in the examination.
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