Limit of an exponent when it goes to infinity

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Homework Help Overview

The discussion revolves around the integration of the function e to the power of (-x) from 0 to infinity, exploring the behavior of the limit as x approaches infinity.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the integration process and the evaluation of limits, with one participant asking about the primitive of e^{-x} and another suggesting to evaluate the limit by substituting large negative values for x.

Discussion Status

The discussion includes attempts to clarify the integration process and the limit evaluation. Some guidance has been offered regarding the integration and limit, although there is no explicit consensus on the final interpretation or outcome.

Contextual Notes

One participant expresses uncertainty about using mathematical symbols, which may affect the clarity of their contributions. There is also a mention of a missed negative sign in the integration process, indicating potential confusion in the setup.

RyozKidz
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how this thing works ?

integration of e to the power of (-x) from 0 to infinity

sorry , not good in using the symbols ..^.^ ~
 
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Hi
Do you know what the primitive of e^{-x} is ?
 
First integrate it, then you get [-e-x] from 0 to infinity.

The key is to find the limit as x approaches infinity of (-e-x).

(Hint: Put in a very large negative value for x and see what you get.)
 
sorry ..~ i missed out the negative ..~
now i know already ..~ tq tq ...
 

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