Limiting x^2-x as x Approaches Infinity

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Homework Help Overview

The discussion revolves around evaluating the limit of the expression x^2 - x as x approaches infinity, with participants exploring the nature of the limit and its classification as an indeterminate form.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss whether the expression represents an indeterminate form and question the implications of this classification on the limit's value. There is also an exploration of the expression's behavior as x increases.

Discussion Status

The conversation includes differing perspectives on the limit, with some participants affirming the indeterminate nature of the form while others suggest that it still approaches a limit. The discussion is ongoing, with no clear consensus reached.

Contextual Notes

Participants are navigating the definitions and implications of indeterminate forms in the context of limits, indicating a need for clarity on these concepts.

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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.

please help
 
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\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!
 

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