Calculate One-Sided Limit as x->-1+

[thushanthan]

Homework Statement

Calculate the one-sided limit as x->-1⁺

Homework Equations

lim
x->-1⁺ |x²-1|/x²-1

The Attempt at a Solution

Here x > -1 since it is approaching -1 from the right side.

therefore + (x+1)(x-1)/(x+1)(x-1) = Negative/Negative

so my final answer is +1.

Is it correct??

 

[System]

Wrong, its -1

as x goes to -1 from right:
|x^2-1| = - (x^2-1)

http://www.wolframalpha.com/input/?i=Limit+of+(+|x^2-1|+)+/+(+x^2+-+1)+as+x+goes+to+-1+from+right

 

[thushanthan]

Thanks!

But I couldn't get that

Since it is an absolute value and x is approaching from right then x>-1. Then how that (-) sign comes.?