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IIT-JEE Advanced | MIT | AP Calculus BC: The Limit That Stumps Many | MOA Lesson 51

Hey math fans!

Welcome to Math Olympiad Academy (MOA)

Our new lesson titled:

IIT-JEE Advanced | MIT | AP Calculus BC: The Limit That Stumps Many | MOA Lesson 51

is officially live on the Math Olympiad Academy channel.

In Lesson 51, we tackle a limit frequently appearing on elite entrance exams like JEE Advanced and MIT-level tests. It might look confusing at first.

To avoid tedious and lengthy calculations, we applied neither the Maclaurin series nor L'Hôpital's rule. Instead, we aimed to adopt an algebraic method that makes the solution effortless. Through this approach, the problem was evaluated gradually and methodically.

To watch the complete step-by-step proof now: Search "MOA Lesson 51" on YouTube

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MIT-Level Limit Problem SOLVED | Complete Rigorous Step-by-Step Solution | MOA Lesson 27

Hey math fans!

Lesson 27 is now live on MOA.

In Lesson 27, students confront a deceptively intricate limit that has appeared in advanced university-level problem-solving programs as an MIT-level challenge—often shared without a complete solution, leaving learners in need of clarity.

Many students have asked for a detailed, fully justified resolution. We provide exactly that: a rigorous, step-by-step solution that addresses every analytical subtlety of the problem.

By the end of this video, students will:

🟢Confidently re-express discrete sums as integrals using Riemann sum recognition. 🟢 Apply domination arguments to justify convergence—even without measure theory 🟢 Evaluate logarithmic integrals using algebraic identities and known constants 🟢 Compute infinite alternating series involving reciprocals of squares with precision 🟢 Construct logically complete, step-by-step solutions to elite-level problems.

Watch the complete step-by-step lesson for free on YouTube by searching "MOA Lesson 27"

Hey math fans!

Lesson 27 is now live on MOA:

MIT-Level Limit Problem SOLVED | Complete Rigorous Step-by-Step Solution | MOA Lesson 27

By the end of this video, students will:

🟢Confidently re-express discrete sums as integrals using Riemann sum recognition. 🟢 Apply domination arguments to justify convergence—even without measure theory 🟢 Evaluate logarithmic integrals using algebraic identities and known constants 🟢 Compute infinite alternating series involving reciprocals of squares with precision 🟢 Construct logically complete, step-by-step solutions to elite-level problems.

Watch the complete step-by-step lesson for free on YouTube by searching " MOA Lesson 27 "