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Can you write a step-by-step solution for all four questions? 1. Give an example of a sequence of positive rational numbers {9n) , such that

Can you write a step-by-step solution for all four questions?

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1. Give an example of a sequence of positive rational numbers {9n) , such that the following statement holds: VE > 0, In > 1 such that qn > - and 0 0, In > 1 such that |qn - qntil > K. (2 points) 3. Give an example of a sequence of positive rational numbers {qn} such that the following statement holds: V positive rational number a there exists n 2 1 such that In > a and qn+1

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