n+5 a. (xn) = п-5 n² b. (xn) = %3D п3+1

Q: ofs (portfolio). Let an be a sequence decreasing to zero. Prove that En-1(-1)"an converges.

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Q: Find a topic relating to the Boundedness of Convergent Sequences for a final project

A: To Find: A topic relating to the Boundedness of Convergent Sequences for a final project.

Q: use the theorem in the picture provided to prove that sequence in the other picture converges to 0,…

A: ### Part (a)To apply Theorem 3.2.11 to show that the sequence (nnn!​) converges to 0, we need to…

Q: 1 {4 +

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Q: Prove that if a sequence  {an} converges, it must be bounded. Is the converse true as well

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Q: Prove that each convergent sequence of reals is bounded.

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Q: 1. Prove that the sequence {4+} converges to 4.

A: To know weather two function converge or not take difference of them and put limit to infinite. If…

Q: Every convergent sequence is bounded. O True O False

A: Every convergent sequence is a bounded sequence, that is the set {xn : n ∈ N} is bounded. Remark :…