Give an example of a sequence (an) and (bn) such that (an) and (bn) diverges and (anbn) converges. I know how to do it but my teacher used an= 1/n as the converging sequence claiming that it goes to 0?? Isn't it a diverging sequence?? Like his answer was an= 1/n and bn=n so if you multiply them it's 1.
Give an example of a sequence (an) and (bn) such that (an) and (bn) diverges and (anbn) converges. I know how to do it but my teacher used an= 1/n as the converging sequence claiming that it goes to 0?? Isn't it a diverging sequence?? Like his answer was an= 1/n and bn=n so if you multiply them it's 1.
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 4SE: What happens to the terms an of a sequence when there is a negative factor in the formula that is...
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Give an example of a sequence (an) and (bn) such that (an) and (bn) diverges and (anbn) converges.
I know how to do it but my teacher used an= 1/n as the converging sequence claiming that it goes to 0?? Isn't it a diverging sequence?? Like his answer was an= 1/n and bn=n so if you multiply them it's 1.
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