Every Monotonic sequence is Convergent , Monotonic Increasing decreasing sequence is cgt
Автор: Maths zone by Manoj sir
Загружено: 2025-10-12
Просмотров: 32
Описание:
In this video, we discuss one of the most important results in Real Analysis —
“Every bounded monotonic sequence is convergent.”
👉 Here we prove that
Every monotonic increasing sequence converges to its least upper bound (LUB / Supremum), and
Every monotonic decreasing sequence converges to its greatest lower bound (GLB / Infimum).
This concept is very useful for B.Sc, B.Tech, and competitive exams.
Watch till the end for a step-by-step proof and clear explanation by Manoj Sir.
📚 Topics Covered:
Definition of monotonic sequences
Concept of LUB and GLB
Proof using ε–N definition of limit
Important examples
📘 Presented by:
Maths Zone by Manoj Sir
📞 9608850010
📢 #MathsZone #RealAnalysis #MonotonicSequence #BScMaths #ConvergenceTheorem #Supremum #Infimum #MathematicsConcepts
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