## clara1223 one year ago how to find the limit as x approaches 4 of (4-x)/(2-sqrt(x))

1. freckles

hint: $4-x=(2-\sqrt{x})(2+\sqrt{x})$

2. clara1223

$\lim_{x \rightarrow 4}\frac{ 4-x }{ 2-\sqrt{x} }$

3. freckles

are you cool?

4. freckles

like with the hint

5. clara1223

Not really haha I remember learning that in class but I don't remember how to simplify from there.

6. freckles

so you never canceled common factors in division ?

7. freckles

for example a/a=1 do you know this?

8. freckles

$\lim_{x \rightarrow 4} \frac{(2-\sqrt{x})(2+\sqrt{x})}{2-\sqrt{x}}$ you should see something to cancel here

9. dinamix

4 this lim x--->4

10. clara1223

@freckles yes i do. do i plug 4 into the remaining equation?

11. freckles

yeah