Question
Asked Nov 3, 2019
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Given a sequence (xn) and a real number L , prove or give a counterexample for the following statement:

(xn) converges to L if and only if |xn| converges to L

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Expert Answer

Step 1

It is given that:

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(x2)is a sequence that converges to / and it is needed to prove that: |xconverges to /

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Step 2

Since it is given that:

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(x2)->that is for E0 there exist 8> such that |x, -1<E

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Step 3

It is needed to p...

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that is x for & 0 there exist 8> such that |x,- <

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