Question

i am stuck on this problem.
Square root of (x+deltaX)+ 2 - square root of (x-2)/ delta x

Answer 1

\[\sqrt{(x+deltax)+2 } - \sqrt{(x+2) } \div deltax \]

Answer 2

as delta x approaces 0

Answer 3

Multiply top and bottom by sqrt(x+dx+2)+sqrt(x+2)
Then try :P

Answer 4

i did :D

Answer 5

but i got lost like it was practically the same ting. i wasn't sure if anything can cancel out do i factor out something.

Answer 6

Well you're supposed to get:
\[\frac{1}{2\sqrt{x+2}}\]

Answer 7

After you take the limit.

Answer 8

i didnt get that.

Answer 9

http://www.wolframalpha.com/input/?i=lim+h+goes+to+0+of+(sqrt(x%2Bh%2B2)-sqrt(x%2B2))%2Fh
Click show steps.