Category:Ordering of Series of Ordered Sequences

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This category contains pages concerning Ordering of Series of Ordered Sequences:


Let $\sequence {a_n}$ and $\sequence {b_n}$ be two real sequences.

Let $\ds \sum_{n \mathop = 1}^{\infty} a_n$ and $\ds \sum_{n \mathop = 1}^\infty b_n$ be convergent series.

For each $n \in \N$, let $a_n < b_n$.


Then:

$\ds \sum_{n \mathop = 0}^\infty a_n < \sum_{n \mathop = 0}^\infty b_n$

Pages in category "Ordering of Series of Ordered Sequences"

The following 3 pages are in this category, out of 3 total.