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Division by zero is undefined because when the limit of 1/x is taken from the positive side of the graph it approaches infinity but when it approaches from the negative side it is negative infinity; thus, becoming an infinite discontinuity this kind of discontinuity makes it undefined. Hope this helps You learn about limits in Calculus.
-Joshua Garrison
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Is zero undefined?
Zero is pretty well defined. Division by zero is undefined.
What is the difference between undefined slope and zero slope?
A line with an undefined slope is a vertical line. A line with a slope of zero is a horizontal line. If you use the formula for slope m = (y2-y1) divided by (x2-x1)... For an undefined slope you will get zero in the denominator, which you cannot have because you cannot divide by zero. For a slope equal to zero, you will get a zero in the numerator. Zero divided by any non-zero denominator, will give you a slope of zero.
When the denominator is zero in a rational function what is that called?
Undefined.
What values of x make the expression 5-xx(x-2) undefined?
The expression 5 - x(x)(x-2) will be undefined when any factor in the expression results in division by zero. This means that x cannot be equal to 0, x, or 2 for the expression to be defined. Therefore, the values of x that make the expression undefined are x = 0, x = 1, and x = 2.
A rational expression is undefined whenever its numerator is zero?
false
