Question

lim(x->7) ((sqrt x-2)-3)/(x-7)
I can't just plug in x=7 since the function is undefined at that point. I tried multiplying both numerator and denominator by (sqrt x-2)+3 to get rid of the square root in the numerator, but this creates a square root in the denominator and I don't know how to get rid of this.
The answer I keep getting is .2799 and the correct answer is 1/6.

Answer 1

http://www.wolframalpha.com/input/?i=lim%28x-%3E7%29+%28%28sqrt+%28x-2%29-3%29%2F%28x-7%29

Answer 2

haha so I guess the back of the book is wrong... thanks!

Answer 3

no, not sure, let me try to work it out

Answer 4

no limit...

Answer 5

DNE

Answer 6

the limit isn't of this world

Answer 7

I don't know why this problem looks familiar ............

Answer 8

It's from http://www.amazon.com/Single-Variable-Calculus-Concepts-Contexts/dp/0534378625 that textbook, if maybe you used it in Calc class.

Answer 9

i was trying to work it out but could not get an answer then i clicked the link you posted on wolf... so i stopped... wolf is mor accurate...

Answer 10

stewart calculus.... he's one of the best...:)

Answer 11

dpalnc, I wish I could give medals to funniest answer since "the limit isn't of this world" was pretty good.

Answer 12

you can give the medal for dpalnc's response

Answer 13

that's ok... what am i gonna do with an electronic medal? i can't hang it on my wall.....

Answer 14

wolf does make mistakes

Answer 15

you're right.... remember last time with the factoring?

Answer 16

ok I will try to do this, I could make a big mess of it but here goes