- #1
Schnellmann
- 21
- 6
Homework Statement
I was doing some multiple choice questions. One question was:
"Which of the expressions below has the largest value for 0 < x < 1
The two relevant options (dismissing those obviously wrong) were:
x-1 (can't do superscript on my iPhone - that should read X to the power of -1 ie 1/x)
Other option was x-1/2 meaning one over the square root of x
I took the question to mean which equation gives the greatest range for values of x between zero and one.
The answer was given as 1/x but that confuses me because a) both have the range from 1 < range < infinity It is true that for any individual x then 1/x is larger than one over the square root of x but I thought that you couldn't compare infinities in that way.
Also I thought that if you take the square root of x then doesn't it have a positive and negative root such that you actually have a range of - infinity < range < -1 as well as the range 1 < range < infinity.
Where am I going wrong?