Qube said:Homework Statement
http://i.minus.com/jbwNvxhmIxeKxB.png
The Attempt at a Solution
I'm unclear on whether the entire log is being squared or if just the (1-x) term in the denominator is being squared. I know if it's the latter, then the exponent can be moved to in front of the log.
Infinity over infinity squared is a mathematical expression that represents an infinitely large number divided by another infinitely large number that has been squared. It is often used to describe the concept of an infinitely small quantity.
No, infinity over infinity squared is not equal to infinity. The result of this expression is undefined because infinity is not a real number and cannot be directly compared or operated on.
Yes, in some cases, infinity over infinity squared can be simplified. For example, if the two infinitely large numbers are equal, the expression can be simplified to 1. However, in most cases, the result will still be undefined.
The limit of infinity over infinity squared is also undefined. This means that as the two infinitely large numbers approach each other, the result will approach a non-numerical value or infinity.
Infinity over infinity squared is often used in calculus and other advanced mathematical concepts to describe the behavior of functions or to represent infinitely small quantities in equations. It is also used in certain philosophical and scientific discussions about the nature of infinity and the universe.