3. If (s) is convergent then (| s₁ ) is convergent. n 4. If (s) and (t₁) are divergent sequences then (s, +t) is divergent. n
3. If (s) is convergent then (| s₁ ) is convergent. n 4. If (s) and (t₁) are divergent sequences then (s, +t) is divergent. n
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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Prove or disprove:

Transcribed Image Text:**3.** If \((s_n)\) is convergent then \((|s_n|)\) is convergent.
**4.** If \((s_n)\) and \((t_n)\) are divergent sequences then \((s_n + t_n)\) is divergent.
Expert Solution

Step 1: Convergent sequence
A real sequence (sn) is said to be convergent sequence if it has a limit l ∈ R . In this case the sequence is said to converge to l. In this case the sequence is said to converge to l.
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