Construct two divergent sequences (xn)n≥1 and (yn)n≥1 such that (xn + yn)n≥1converges

Question

Construct two divergent sequences (xn)n≥1 and (yn)n≥1 such that (xn + yn)n≥1converges
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Solution 1

Sure, let's construct two divergent sequences (xn)n≥1 and (yn)n≥1 such that their sum (xn + yn)n≥1 converges.

  1. Define the sequence (xn)n≥1 as xn = n. This sequence is divergent because it tends to infinity as n increases.

  2. Define the sequence (yn)n≥1 as yn = -n. This sequence is also divergent Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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