Answer:
Step-by-step explanation:
In mathematics a Cauchy sequence is a sequence whose elements become closer for larger n.
i.e. for a sequence [tex]x_1, x_2,...x_n[/tex]
if [tex]|x_n-x_m|<\epsilon[/tex] for all m,n >n then we call this a cauchy sequence.
eg:
[tex]x_1 =1, x_{n+1} =1+\frac{1}{x_n}[/tex]
This will be of the form
[tex]1,2,3/2, 5/3, 8/5, 13/8,.....\\[/tex]
For large n, the difference between consecutive terms would be very small.
