Sequences and Series
2.3. The Monotone Convergence Theorem and a First Look at In nite Series 5 2.3. The Monotone Convergence Theorem and a First Look at In nite Series De nition 2.4. A sequence (a n) is called increasing if a n a n+1 for all n2N and decreasing if a n a n+1 for all n2N:A sequence is said to be monotone if it is either increasing or decreasing.
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