# Notation question

by chemistry1
Tags: notation
 P: 106 Hi, I have a question about : http://imgur.com/RU7PvtJ I actually understand what I need to do. I need to see if both one sided limits are the same to establish that the limit exists. The only thing which I just find weird is the "since y --> 2^(-) implies y<-2" Can somebody explain me where this y --> 2^(-) is coming from ??
 Mentor P: 18,299 It is just a notation to denote the left-hand limits. So $$\lim_{x\rightarrow a^-} f(x)$$ is the limit of ##f(x)## as ##x\rightarrow a## but ##x
 P: 106 But shouldn't we say : y --> -2^(-) and not y --> 2^(-) ???
Mentor
P: 18,299
Notation question

 Quote by chemistry1 But shouldn't we say : y --> -2^(-) and not y --> 2^(-) ???
Yes, you are correct. The book is wrong there (and it is wrong is the same place on the next line too).
P: 106
 Quote by micromass Yes, you are correct. The book is wrong there (and it is wrong is the same place on the next line too).
Yes, I also noticed it. Ok, thank you!

 Related Discussions General Math 5 General Math 3 Calculus & Beyond Homework 5 General Math 3 General Math 1