Real Analysis & Ring Theory | Top 500 Questions | Target CUET PG Mathematics 2026 | Lec-9 | IFAS

Описание: In this lecture by IFAS, Rohit Sir & Chandan Sir explains key concepts of Real Analysis and Ring Theory with top 500 questions in a simple and exam-focused manner. This session is a core part of the Target CUET PG Mathematics 2026 series, essential for CUET PG and IIT JAM aspirants to build a strong conceptual foundation and improve problem-solving skills for sequences and ring structures.

🔥 Join India's Best Mathematics Coaching for IIT JAM and CUET PG Exams - IFAS Online! STARTING SOON: Champion 2.2 Batch (From 19 Feb 2026) 

👉🏻 IFAS IIT JAM and CUET PG Mathematics Result👈🏻:   
🌟 IIT JAM 2025 - Total Selections: 1000+ (IIT JAM AIR 1,3,4,6,7,8....)
🌟CUET PG 2025 - Total Selections: 1500+
🌟IIT JAM 2024: Total Selections: 800+ (IIT JAM AIR 1, 2, 3, 4, 8, 10...)
🌟CUET PG 2024: Total Selections: 500+
🌟IIT JAM 2023: Total Selections: 600+ (IIT JAM AIR 1, 2, 8, 9...)
🌟IIT JAM 2022: Total Selections: 500+ (IIT JAM AIR 1, 4, 7, 10...)
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👇 Watch the Full Lecture to Master These Topics:

Sandwich Theorem (Squeeze Theorem) for Sequences
Limit Evaluation of Summation Series
Limit of Product Series using Cauchy’s Second Theorem
Identification of Idempotent Elements in Rings ($Z_n$)
Number of Prime Divisors and their Role in Ring Theory
Calculation of $2^d$ for Idempotent Elements
Solving Top Practice Questions for CUET PG 2026
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⏱️ Timestamps - Jump to Your Topic:

[00:08] Introduction and Session Welcome
[02:04] Strategy: Choosing the Right Theorem (The "Mahabharata" Analogy)
[04:20] Real Analysis: Evaluating Limits using the Sandwich Theorem
[06:21] Limit of Products: Applying Cauchy's Second Theorem on Limits
[01:47:49] Ring Theory: Identifying Rings with Exactly Two Idempotent Elements
[01:49:39] Formula Derivation: Number of Idempotent Elements in $Z_n$
[01:50:41] Mentorship: Batch Details and Test Series Offerings
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Lecture Summary:

In this session, Rohit Sir & Chandan Sir focuses on Real Analysis & Ring Theory Practice, providing a bridge between conceptual definitions and competitive exam applications. The lecture covers everything from the application of the Squeeze Theorem in real analysis to determining idempotent elements in $Z_n$ using prime factorization. Rohit Sir & Chandan Sir also shares valuable insights on theorem application strategy and provides information about the latest test series and batch offers to help students crack exams like CUET PG and IIT JAM.
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