Calculating Limits Approaching Infinity: An Example

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Homework Help Overview

The discussion revolves around calculating limits as a variable approaches infinity, specifically focusing on the limit of a function involving a rational expression.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster seeks clarification on the rules for calculating limits approaching infinity and presents a specific limit for discussion. Some participants explore the behavior of the function as the variable increases, questioning how the terms contribute to the limit.

Discussion Status

The discussion includes attempts to reason through the limit, with some participants affirming the original poster's understanding of the function's behavior as the variable approaches infinity. Feedback is being exchanged, indicating an ongoing exploration of the topic.

Contextual Notes

There is a mention of uncertainty regarding the rules for limits approaching infinity, which may indicate a need for further clarification or examples in the discussion.

sapiental
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I don't remember any rules on how to calculate limits approaching infinity.
for example, can someone please explain the following limit to me

(-1/2) lim (t->infinity) 1/(t^2 + 2) + 1/4 =

0 + 1/4 = 1/4

Thanks!
 
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oh I think I get it now.. as t gets bigger the function -1/2 (1/(t^2+2)) approaches 0.. therefore we set it equal to 0?

Any feedback is much appreciated. Thanks!
 
Yes, that is the correct reasoning.
 
Thanks again.:biggrin:
 

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