(a) Suppose that (în) is a sequence of real numbers. Define what it means to say that the sequence converges to 0. (b) Prove from the definition that the sequence (n) with n+2 √n Xn = 钟情。 添加注释内容..... 20

Q: true or false: if the sequence [a sub(n)] is monotone decreasing, then [a sub(n)] must converge

A: Follow next step

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A: Given sequence is 72, 24, 8, 83, ...

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Q: a) {(3N +17))(2N)} 10. Prove that the sequence {(-1)"} does not converge.

A:

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A: The objective is to find the sequence that represents the sequence. a1=400an=12an-1

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Q: 35 (b) (5+7k) = k=D1

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

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A: Here given  f1=3,fn=2·fn-1

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Q: Use the Monotonic Sequence Theorem to show that the sequence n 3n is convergent.

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Q: (2) Let an be the sequence defined by: a₁ = 1 a2 = 2 an = an-1 + 2an-2 for n ≥ 3.

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Q: Prove { (8n-7)/n} n=1 to infinity is an increasing sequence.

A: If we take the sequence as {Un}, and if we can able to show that for all n=1,2,3, ...  Un+1>Un…

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A: Given that the sequenceAnd  To find the nth terms

Q: 1. Let a, = 1 and an+1 = 1+ 1+an (a) Find the first six terms of the sequence {an}. (b) Prove that…

A: As you asked multiple sub parts so I answered 1st three subpart.