#4. Prove thata rectangle R = [a1, bil x ...x [an, bn] C R" is closed. *5. Prove that the closed ball B (a, r) {x e R" : ||x - a|| < r} C R" is closed. F6. Given a sequence {xk} of points in R", a subsequence is formed by taking where k1 < k2
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![#4. Prove thata rectangle R = [a1, bil x ...x [an, bn] C R" is closed.
*5. Prove that the closed ball B (a, r)
{x e R" : ||x - a|| < r} C R" is closed.
F6. Given a sequence {xk} of points in R", a subsequence is formed by taking
where k1 < k2 <k3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a3b0a85-5819-488a-b640-64960995ba98%2F54a6cb5a-6c00-4166-acb8-69b08bd065c2%2Fydlmmzk.jpeg&w=3840&q=75)
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