Construct two divergent sequences (x′n)n≥1 and (y′n)n≥1 such that (x′ny′n)n≥1 converges
Question
Solution 1
Sure, here are two divergent sequences whose product converges:
Let's define the sequence (x'n)n≥1 as x'n = n. This sequence is divergent because it goes to infinity as n increases.
Now, let's define the sequence (y'n)n≥1 as y'n = 1/n. This sequence is also divergent because it goes to zero 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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