Question

what are the limit points of below set in \(\mathbb{R}\)

\[A = \left\{\frac{1}{n} : n\in \mathbb{N}\right\} \]

Answer 1

Well, what is the biggest that function can be?

Answer 2

i think it is bounded by (0, 1)

Answer 3

** (0, 1]

Answer 4

mhmm, I would maybe use inf and sup, if it is a set theory class

Answer 5

infimum, and supremum-please forgive the spelling

Answer 6

sup is 1
inf is 0

Answer 7

yep, and does it attain it's sup? inf?

Answer 8

it attains sup when n=1

Answer 9

good, and inf?

Answer 10

nope 0 side is open

Answer 11

yep, then you got it

Answer 12

I would just be very specific when you write it down

Answer 13

\[\large \left\{\frac{1}{1},\frac{1}2{}, \cdots \right\}\]

Answer 14

okay thanks!

Answer 15

np, and if you have (as it appears) used the terms inf and sup, definitely use those to describe. Also, make sure you state which attains :) have a good day!