Question

how to find the limit as x approaches 4 of (4-x)/(2-sqrt(x))

Answer 1

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

Answer 2

\[\lim_{x \rightarrow 4}\frac{ 4-x }{ 2-\sqrt{x} }\]

Answer 3

are you cool?

Answer 4

like with the hint

Answer 5

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

Answer 6

so you never canceled common factors in division ?

Answer 7

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

Answer 8

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

Answer 9

4 this lim x--->4

Answer 10

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

Answer 11

yeah