Question

evaluate lim (x^2-1)/(sqrt(x)-1)
x->
the answer in the book says 2

Answer 1

lim x->1 x^2-1/ sqrt(x) -1
= lim x->1 ( sqrt(x) -1 )( sqrt(x) +1 ) / ( sqrt(x) -1 )
= lim x->1 ( sqrt(x) +1)
pluggin in the values , we get
= ( sqrt(1) +1)
= 1 +1
=2
hope that helps !!! let me know if u r satisfied...

Answer 2

thank you very much!

Answer 3

I dont understand the first step

Answer 4

okay let me explain

Answer 5

remember the formula a^2 - b^2 = (a - b) (a +b)

Answer 6

yes

Answer 7

(sqrt(x)-1) (sqrt(x)+1) does that equal x-1?

Answer 8

u got it ...cheers !!!!

Answer 9

but the original problem has a numerator of x^2-1 not X-1

Answer 10

the square root of x^2 is only x

Answer 11

okay !!! then make it as (x -1)(x +1)
which equals to (sqrt(x)-1) (sqrt(x)+1) (x +1)
and now plug in the values

Answer 12

but thats like we are getting 4

Answer 13

I thought this one looked so simple

Answer 14

r u sure that u read the statement correct?

Answer 15

evaluate the indicated limit, if it exists. lol (x-1)/(sqrt(x)-1) I was wrong

Answer 16

yes.......the limit does exist which is 4

Answer 17

your original answer is right, Thank you very much for your help!

Answer 18

4 or 2 ? :)

Answer 19

2 because I had the problem wrong the numerator is (x-1)

Answer 20

ahh !!!!!! finally we r there !!! gud luck with ur maths ..

Answer 21

thanks bro

Answer 22

no worries !!!!