1. Cauchy/Monotone--Bounded

Find an example of a sequence of real numbers satisfying each set of properties:
A) Cauchy, but not monotone
B) Monotone, but not Cauchy
C) Bounded, but not Cauchy

2. Originally Posted by slowcurv99
Find an example of a sequence of real numbers satisfying each set of properties:
A) Cauchy, but not monotone
B) Monotone, but not Cauchy
C) Bounded, but not Cauchy

A){1,-1,.1,-.1,.01,-.01,.001,-.001,...}

B) {1,2,3,4,5,6,7,8,9...}

C) {-1,1,-1,1,-1,1,...}