Originally Posted by

**alisheraz19** Find the indicated Limit, if the limit does not exist, so state that, or use the symbol (infinity) or (-infinity) where appropriate.

There one thing I don't understand from reading my textbook and I'll explain after I post the questions.

Question 1: f(x) = {2 if x <or= 2

{1 if x > 2

a) Find lim x-->2+(from the right) = 1

b) Find lim x--> 2-(from left) = 2

c) Find lim x-->2 (the limit does not exist since Lim 2+ and lim 2- are differnet)

d) Find lim x--> infinity = 1

e) Find lim x--> - infinity = 2

Ok so the above question I understand, now my question as pertaining to this post is the following (is related to Question 1):

Question 2: g(x) = { x if x<0

{ -x if x>0

a) lim x--> 0+ g(x) (from right)

b) lim x--> 0- g(x) (from left)

c) lim x-- 0 g(x)

d) lim x--> infinity g(x)

e) lim x--> - infinity g(x)

now since I answered question one correctly I assumed you do the same for question 2 so my answers looked like this:

a) = -x (since its from the right and greater than 0)

b) = x

c) the limit does not exist because 0- and 0+ are different

d) = -x

e) = x

in my book however it says:

a) 0

b) 0

c) 0

d) -infinity

e) -infinity

I don't understand these answers since the equations at the top say that if x is greater or less than g(x) would be either x or -x .. why then would they put in values of 0? and -infinity and +infinity?