## anonymous 4 years ago i...just....cant....do it. lim x->4 of (4x-x^2)/(2-sqrt(x))

1. campbell_st

I think you'll find the limit is undefined... no matter what you do the result will be a zero in the denominator.

2. anonymous

erm. when i put it in a limit calculator i get 16

3. anonymous

im @ $\lim_{x \rightarrow 4} (4x-x^2)/(2-\sqrt{x)} * ((2+\sqrt{x})/(2+\sqrt{x}))$

4. anonymous

= (8x-2x^2+4xrt(x)-x^2rt(x)) / 2-x

5. anonymous

|dw:1327396343921:dw|

6. anonymous

sorry bud i can't read the right side... :(

7. anonymous

|dw:1327385788117:dw|

8. anonymous

|dw:1327396684752:dw|

9. anonymous

L`hopital rules

10. anonymous

see, i get that, but that can't be the route because the book hasn't even gone over that yet, or derivatives.

11. anonymous

ok I found it

12. anonymous

|dw:1327397244597:dw|

13. anonymous

|dw:1327397339884:dw|