Question

limit question

Answer 1

\[\lim_{x \rightarrow 1^-}\frac{ 2\sqrt{x}(x-1) }{ |x^2-1|}\]

Answer 2

@dan815

Answer 3

anyone has any ideas?

Answer 4

is x^2-1 negative or positive when x gets closer to 1 from the left?

Answer 5

recall |a|=a if a>0
|a|=-a if a<0

So what is |x^2-1|=???? if x->1-

Answer 6

if x approaches 1 from the left it would be negative for x^2-1?

Answer 7

yep now factor x^2-1

Answer 8

CANCEL

Answer 9

Cancel something. :)

Answer 10

?