2. Consider the sequence an given by 2n +1 n³ (a) Calculate the first four terms of the sequence (as integers or fractions). an = for n ≥ 1. (b) Is this sequence bounded above or below, or not bounded at all? Explain your answer in detail. Provide bounds if possible. (c) Does this sequence converge or diverge? If it converges, find the limit.

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A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: (5) Give an example for each of the following statements, if it is not possible, explain why? (a) A…

A: Let's find.