Question

PLS tell me if I did this correctly?
Give the value of x where the function f(x) ((sqrt(x)-1))/(x-1) has an infinite discontinuity?
I rationalized and landed up with 1/(sqrtx+1) which means no infinite disc.

Answer 1

\[\frac{\sqrt{x}-1}{x-1}*\frac{\sqrt{x}+1}{\sqrt{x}+1}=\frac{x-1}{(x-1)(\sqrt{x}+1)}=\frac{1}{\sqrt{x}+1}\]
you are right there are none

Answer 2

sweet! thank you! Myin!

Answer 3

there is a hole at x=1
but not an infinite discontinuity

Answer 4

yup, I recognize that now since you guys showed me how it works.