# Limiting x^2-x as x Approaches Infinity

• ggcheck
In summary, as x approaches infinity, the value of x^2-x increases without bound and approaches positive infinity. It never reaches a finite value. This also means that x^2-x is an example of a polynomial function, with a degree of 2.
ggcheck
lim (x^2 - x) as x---> inf.

I thought it was in indeterminate form inf. - inf. but my friend said that it's just inf.

$$\lim_{x\rightarrow\infty}=x(x-1)$$

As x goes to infinity, infinity times infinity minus one goes to ... ?

oops

thanks

Actually both of you are right. It is an "indeterminant form" but that doesn't mean it does not have a limit!

## What is the limit of x^2-x as x approaches infinity?

The limit of x^2-x as x approaches infinity is positive infinity.

## What is the behavior of x^2-x as x gets larger and larger?

The behavior of x^2-x as x gets larger and larger is that it increases without bound, meaning it approaches positive infinity.

## Does the value of x^2-x ever reach a finite value as x approaches infinity?

No, the value of x^2-x never reaches a finite value as x approaches infinity. It continues to increase without bound.

## Is x^2-x an example of a polynomial function?

Yes, x^2-x is an example of a polynomial function since it is a function of the form ax^n + bx^(n-1) + ... + k, where n is a non-negative integer and a, b, and k are constants.

## What is the degree of x^2-x?

The degree of x^2-x is 2, since the highest exponent in the term is 2.

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