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In Exercises 4–11, give examples of sequences satisfying the given conditions or explain why such an example cannot exist.
Two convergent sequences {ak}and {bk}such that the sequence {ak-bk}diverges.

Short Answer

Expert verified

There is no such sequence {ak},{bk}such that {ak-bk}is divergent.

Step by step solution

01

Step 1. Given Information.

Two convergent sequences {ak}and {bk}such that the sequence {ak-bk}diverges.

02

Step 2. Explanation.

If two sequences are convergent, the sum and difference of the sequence is always convergent.

There is no such sequence {ak},{bk}such that {ak-bk} is divergent.

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