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

1. Jul 15, 2005

### punjabi_monster

hi,
i have a question. :uhh:

e^x =0
is this possible, and for what values of x if so.?

2. Jul 15, 2005

### Lyuokdea

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

Last edited: Jul 15, 2005
3. Jul 15, 2005

### Dr.Brain

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

4. Jul 15, 2005

### punjabi_monster

yes i see. thank-you for your help.