On what cases i get 0 denomiator

  • Thread starter transgalactic
  • Start date
In summary, a denominator is the bottom number in a fraction that represents the total number of equal parts into which the whole has been divided. A 0 denominator occurs when the fraction has been divided by 0, which is undefined in mathematics. There are a few different scenarios where we might get a 0 denominator, such as intentionally dividing by 0 or when solving equations. When we have a 0 denominator, the fraction becomes undefined and there is no solution to the problem. To avoid getting a 0 denominator, we should always check our work and equations for potential division by 0 and make adjustments accordingly.
  • #1
transgalactic
1,395
0
[tex]
f(x)=\frac{1}{1+ln|x|}
[/tex]

the ln|x| part could be -1 when x=e^-1
correct??
 
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  • #2
Certainly!

Do you have any other solutions to the equation 1+ln|x|=0?
 
  • #3
no
??
 
  • #4
Well, if ln|x|=-1, what must |x| equal?
 
  • #5
|x|=e^-1
x=-e^-1
x=e^-1
 
  • #6
transgalactic said:
[tex]
f(x)=\frac{1}{1+ln|x|}
[/tex]

the ln|x| part could be -1 when x=e^-1
correct??

Yes. :smile:
 
  • #7
thanks
 
  • #8
But Arildno's point is that that is not the only value. As you said, the denominator is 0 for [itex]e^{-1}[/itex] or [itex]-e^{-1}[/itex].
 

1. What is a denominator?

A denominator is the bottom number in a fraction that represents the total number of equal parts into which the whole has been divided.

2. Why do we sometimes get a 0 denominator?

A 0 denominator occurs when the fraction has been divided by 0, which is undefined in mathematics. This is because division by 0 results in an infinite value, which cannot be represented as a number.

3. In what cases do we get a 0 denominator?

There are a few different scenarios where we might get a 0 denominator. One common case is when we are dividing a number by 0, either intentionally or unintentionally. Another case is when we are solving equations and a variable cancels out, resulting in a 0 denominator.

4. What happens when we have a 0 denominator?

When we have a 0 denominator, the fraction becomes undefined. This means that there is no solution or answer to the problem. In some cases, we may be able to use limits or other techniques to find an approximation, but there is no exact solution.

5. How can we avoid getting a 0 denominator?

To avoid getting a 0 denominator, we should always check our work and equations for any potential division by 0. We should also be aware of any variables or numbers that could potentially result in a 0 denominator and make adjustments to our equations accordingly.

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