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

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The equation e^x = 0 has no solution for any real value of x. As x approaches negative infinity, e^x approaches 0 but never actually reaches it. The function e^x is always positive and increasing, which is confirmed by its graph. Understanding limits clarifies that while e^x gets infinitely close to zero, it never equals zero. Therefore, e^x can never be zero for any value of x.
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

\lim_{\substack{x \rightarrow - \infty\\}} e^x = 0

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
 
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For more help, you can draw the graph of e^x , 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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