Category:Inequality Rule for Real Sequences
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This category contains pages concerning Inequality Rule for Real Sequences:
Let $\sequence {x_n}$ and $\sequence {y_n}$ be sequences in $\R$.
Let $\sequence {x_n}$ and $\sequence {y_n}$ be convergent to the following limits:
| \(\ds \lim_{n \mathop \to \infty} x_n\) | \(=\) | \(\ds l\) | ||||||||||||
| \(\ds \lim_{n \mathop \to \infty} y_n\) | \(=\) | \(\ds m\) |
Let there exist $N \in \N$ such that:
- $\forall n \ge N: x_n \le y_n$
Then:
- $l \le m$
Pages in category "Inequality Rule for Real Sequences"
The following 7 pages are in this category, out of 7 total.