If a sequence c1, C2, C3, ... has limit K then the sequence eº1, e^2, eC3 fact together with l'Hopital's rule to compute the limit of the sequence given by has limit ek. Use this (1 + )" 3.6 bn

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A: we have to find a sequence such that it has two limit points.

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A: We will use the definition of limit.

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Q: Exercise 4. Use the definition of limit to prove that the sequence {n – - is divergent. -

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A: Give an example of a bounded sequence that has a limit.

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A: According to the given information it is required to show that {an}= {(-1)n} has no limit.

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A: Let's find.

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Q: (-1)" 50. Сп

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: If a sequence c1, c2, C3, .. has limit K then the sequence e, e, e", ... has limit ek. Use this fact…

A: The solution are next step