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The Monotone Convergence Theorem
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The Monotone convergence theorem is a theorem in real analysis and calculus.
It states that sequences of real numbers which are either monotonically increasing or monotonically decreasing are convergent.
In particular they converge to their supremum and infimum respectively.
In this video we state and prove this theorem.
It states that sequences of real numbers which are either monotonically increasing or monotonically decreasing are convergent.
In particular they converge to their supremum and infimum respectively.
In this video we state and prove this theorem.
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