Is there an x such that e^x = 0?

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Homework Help Overview

The discussion revolves around the equation e^x = 0 and whether there exists a value of x that satisfies this equation. The subject area involves exponential functions and their properties.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the behavior of the exponential function e^x, particularly its limits as x approaches negative infinity. Questions arise about the possibility of e^x equaling zero.

Discussion Status

Some participants have provided insights regarding the limits of e^x, noting that while it approaches zero, it never actually reaches it. There is an acknowledgment of the increasing nature of the function and its asymptotic behavior.

Contextual Notes

Participants are discussing the mathematical properties of the exponential function under the constraints of the original question, which seeks to understand the conditions under which e^x could equal zero.

punjabi_monster
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hi,
i have a question. :rolleyes:

e^x =0
is this possible, and for what values of x if so.?
 
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No.

If you understand the idea of limits you can say that e^x approaches 0 as x approaches negative infinity

[tex]\lim_{\substack{x \rightarrow - \infty\\}} e^x = 0[/tex]

The larger and larger negative numbers you get for x, the closer and closer to zero you will get for e^x. But you can never actually get 0.

~Lyuokdea
 
Last edited:
For more help, you can draw the graph of [itex]e^x[/itex] , the graph is an increasing function and which approaches zero and -infinity, but never equals zero.

BJ
 
yes i see. thank-you for your help.
 

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