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Notation 4.5.4. If the sequence (xn :n e N) converges to æ, we may write n → x, or lim n-00 ªn = x, or simply lim æn = æ. We may call æ the limit point of (x, :n e N). Let Xn . Compute lim Xn.

Notation 4.5.4. If the sequence (xn :n e N) converges to æ, we may write n → x, or lim n-00 ªn = x, or simply lim æn = æ. We may call æ the limit point of (x, :n e N). Let Xn . Compute lim Xn.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Notation 4.5.4.** If the sequence \((x_n : n \in \mathbb{N})\) converges to \(x\), we may write \(x_n \to x\), or \(\lim_{n \to \infty} x_n = x\), or simply \(\lim x_n = x\). We may call \(x\) the **limit point** of \((x_n : n \in \mathbb{N})\). Let \(x_n = \frac{1^n}{n}\). Compute \(\lim x_n\).
Transcribed Image Text:**Notation 4.5.4.** If the sequence \((x_n : n \in \mathbb{N})\) converges to \(x\), we may write \(x_n \to x\), or \(\lim_{n \to \infty} x_n = x\), or simply \(\lim x_n = x\). We may call \(x\) the **limit point** of \((x_n : n \in \mathbb{N})\). Let \(x_n = \frac{1^n}{n}\). Compute \(\lim x_n\).
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