Question

lim as x approaches 0^- ((x-(2(sqrt(x)))+1)/((sqrt(x))+1)

Can someone start me off with this please?

Answer 1

Assuming we are finding limits in the reals
And since we have sqrt{x}
That means x>0
But you say you are approaching 0 from the left
Which means you are getting close to 0 from the negative side
Which means what ....
Do you know?

Answer 2

oops x>=0 whatever lol

Answer 3

still confused a little

Answer 4

Can x be less than 0?

Answer 5

yes

Answer 6

So if x<0 then sqrt{x} is real?

Answer 7

still confused. I'm a visual person

Answer 8

\[\sqrt{-0.00001}=?\]
Is this number real?

Answer 9

it's imaginary

Answer 10

So is that number inside the square root less than 0?

Answer 11

no?

Answer 12

All negative numbers are less than 0