- #1
mjjoga
- 14
- 0
ok so,
a) If s sub n→0, then for every ε>0 there exists N∈ℝ such that n>N implies s sub n<ε.
This a true or false problem. Now this looks like a basic definition of a limit because
s sub n -0=s sub n which is less than epsilon. n is in the natural numbers. But, I thought there should be an absolute value around s sub n. so does that make it false? or does the absolute value of a sequence equal the sequence and it's true?
a) If s sub n→0, then for every ε>0 there exists N∈ℝ such that n>N implies s sub n<ε.
This a true or false problem. Now this looks like a basic definition of a limit because
s sub n -0=s sub n which is less than epsilon. n is in the natural numbers. But, I thought there should be an absolute value around s sub n. so does that make it false? or does the absolute value of a sequence equal the sequence and it's true?