A) give the definition of cauchy sequence. then give an example.

Step-by-step explanation:

In mathematics a Cauchy sequence is a sequence whose elements become closer for larger n.

i.e. for a sequence

if for all m,n >n then we call this a cauchy sequence.

eg:

This will be of the form

For large n, the difference between consecutive terms would be very small.

if i put something wrong your not gonna like it so rather not say nothing.

for future students the answer is b

hope i

-lavira: )