If {xn} is a sequence and the sequence {xn+1-xn} converges to0, give an example
ID: 2938950 • Letter: I
Question
If {xn} is a sequence and the sequence {xn+1-xn} converges to0, give an example to show that the sequence {xn} may notconverge. In other wods, the condition that |xn-xm|<for all m,n>=N is crucial in the definition of a Cauchysequence. Thanks for your help! If {xn} is a sequence and the sequence {xn+1-xn} converges to0, give an example to show that the sequence {xn} may notconverge. In other wods, the condition that |xn-xm|<for all m,n>=N is crucial in the definition of a Cauchysequence. Thanks for your help!Explanation / Answer
Thank you very much for the answer and explanation. It was a lot of help!