a. Show that if (bn) --> b, then the sequence of absolute values |bn| converges to |b|
b. Is the converse of part a. true? If we know that |bn| --> b, can we deduce that (bn) --> b?
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Use this well known inequality: .
Part (a) follows at once.
For part (b), consider .
I just wanted to say thanks for responding to my question. Luckily I was able to locate the answers you listed in my notes from class. Unfortunately I stayed up all night completing this assignment.
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