Question

What is the limit of (sqrt (x) - 5)/(x-25) as x approaches 25?

Answer 1

multiply and divide by (sqrt(x)+5)

Answer 2

Why is that?

Answer 3

To rationalize it?

Answer 4

use \( (\sqrt x -5)(\sqrt x+5)= x-25\)

Answer 5

yup

Answer 6

\[(x-25)/(x \sqrt{x}+5x-25\sqrt{x}-125\]

Answer 7

then u can can out x-25 from numerator and denominator.

Answer 8

Ah, then you get 1/sqrt{x}+5

Answer 9

So the limit = 1/10! Wow!

Answer 10

??
keep x-25 in denominator as it is.

Answer 11

yup , u got it :)

Answer 12

You're very helpful, thank you!

Answer 13

welcome :)