Could somebody throw their hat in with me on these?(adsbygoogle = window.adsbygoogle || []).push({});

a. [tex]\{1- \frac{(-1)^n}{n}:n \in \mathbb{N} \}[/tex]

Limit point = 1 , Isolated points are equal to the whole set

b. [tex]\{ (-1)^n + \frac{1}{n} : n \in \mathbb{N} \} [/tex]

Limit points are -1 and 1, Isolated points are the whole set

c. [tex](0,1) \cup 2[/tex]

Limit points are [0,1], Isolated point is 2.

d. [tex] \mathbb{N} [/tex]

Limit points none, Isolated points are [tex]\mathbb{N}[/tex]

e. [tex] \mathbb{R} \backslash \mathbb{Q}[/tex]

Limit points are [tex]\mathbb{R}[/tex], Isolated points are none.

f. [tex] \mathbb{Q} \cap (0,1) [/tex]

Limits points are [0,1], Isolated points are none

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Limit pts check

**Physics Forums | Science Articles, Homework Help, Discussion**