Mathematically Explain Non-defined Status of s=1

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In summary, when both x and y have a value of zero, the equation s=1+(y/x) is undefined since y/x is undefined. However, if y/x = 0, then y=0 and x is not equal to 0, resulting in a limit of 2 when approaching (0,0) along the line y= x, and a limit of 0 when approaching along the line y= -x. Additionally, approaching (0,0) along the line y= (a-1)x will result in a limit of a.
  • #1
electronic engineer
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let's assume such equation:

s=1+(y/x)

we usually say that s=1 when both x,y has Zero value

how to explain that mathematically?!
 
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  • #2
no, we can't say x and y are 0, but we must stipulte y/x = 0. If y and x both = zero, then the value s is undefined since y/x is undefined. And if y/x = 0, then y=0, and x is not equal to 0.
 
  • #3
electronic engineer said:
let's assume such equation:

s=1+(y/x)

we usually say that s=1 when both x,y has Zero value

how to explain that mathematically?!

I can't explain it because I would never say such a thing! If you approach (0,0) along the line y= x, then s will have a limit of 2. If you approach along the line y= -x, then s will have limit of 0. In fact, given any value a, then approaching (0,0) along the line y= (a-1)x, s has limit a.
 

1. What is the non-defined status of s=1 in mathematics?

In mathematics, the non-defined status of s=1 means that the value of s cannot be determined or is not defined. This occurs when the equation or expression involving s does not yield a unique solution.

2. How is the non-defined status of s=1 different from other non-defined values?

The non-defined status of s=1 is different from other non-defined values because it specifically refers to the value of s being undefined. Other non-defined values may refer to different variables or quantities being undefined in an equation or expression.

3. What are some common situations where s=1 may have a non-defined status?

The non-defined status of s=1 can occur in various mathematical scenarios. Some common situations include division by zero, taking the logarithm of zero, or solving a system of equations with no unique solution.

4. Can the non-defined status of s=1 be resolved?

In most cases, the non-defined status of s=1 cannot be resolved. However, in some cases, it may be possible to redefine the problem or equation to find a unique solution for s. This requires careful analysis and manipulation of the equations involved.

5. How does the non-defined status of s=1 impact mathematical calculations?

The non-defined status of s=1 can greatly impact mathematical calculations, as it may lead to incorrect or undefined results. It is important to pay attention to the non-defined status of s=1 and other variables in order to accurately solve equations and perform mathematical operations.

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