X_n=(-1)^n Is Bounded But Not Cauchy, How Do You Solve This Problem?
Absolute value of x_n less than one.
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x_n=(-1)n
limit n approaches to infinity x_n =limit n approaches to infinity (-1)n
limit n approaches to infinity x_n =(-1)infinity
limit n approaches to infinity x_n =+ 1
Since limit is not unique so does not exist, hence the sequence is divergent.
limit n approaches to infinity x_n =limit n approaches to infinity (-1)n
limit n approaches to infinity x_n =(-1)infinity
limit n approaches to infinity x_n =+ 1
Since limit is not unique so does not exist, hence the sequence is divergent.
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