Question

Question on Limits Below

Answer 1

find
\[\lim_{h \rightarrow 0}(\frac{ \sqrt{x+h-11}-\sqrt{x-11} }{ h})\]

Answer 2

@Astrophysics

Answer 3

any attempt?

Answer 4

you need to use algebraic manipulation to get a number other than zero on the bottom.
i recommend using the fact that as long as you multiply to the top and bottom by the same thing, you get one.

Answer 5

Please @Jimbo12 let the person try first

Answer 6

learning from attempting using whatever tools you have, then when you really stuck you seek help
not doing anything at all is not helping

Answer 7

sorry, so I can multiply by the conjugate and then simplify? @xapproachesinfinity

Answer 8

yeah

Answer 9

so I would get
\[\frac{ h }{ h(\sqrt{x+6-11}+\sqrt{x-11}) }\]

Answer 10

@Jimbo12

Answer 11

interesting you can actually do something lol :)

Answer 12

and then
\[\frac{ 1 }{ \sqrt{x+h-11}+\sqrt{x-11} }\]

Answer 13

try plug in the h now ?

Answer 14

i mean 0

Answer 15

Oh, right
I keep forgetting about the h goes to 0 and I keep trying to simplify
lol

Answer 16

glad you worked it out :)

Answer 17

im not sure you did that correctly

Answer 18

\[\frac{ 1 }{ 2\sqrt{x-11}}\]
?

Answer 19

well done !

Answer 20

Thanks :)

Answer 21

and yes that's correct

Answer 22

:D

Answer 23

no problem! always think the problem first before giving up and posting it :)
that way you actually learn ^_-

Answer 24

Yeah I kept getting stuck at one point so I assumed I was doing the whole thing wrong. @xapproachesinfinity

Answer 25

no just step back and think what are you doing wrong if it is wrong
go to the notes and see if you are following the correct way