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anonymous
 3 years ago
Explain why each function is discontinuous at the given point. f(x) = x/x  1 at x = 1
anonymous
 3 years ago
Explain why each function is discontinuous at the given point. f(x) = x/x  1 at x = 1

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so what is discontinuous?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you mean the word discontinuous or?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0well it means having a gap... missing doesn't continue

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i don't get it. why would this function be discontinuous

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0because its saying that at point 1 it breaks its doesnt continue the line, so you have to explain why? why it broke?

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.0\[\large f(x)=\frac{x}{x1}\] In the land of math, we are never allowed to divide by 0. If we let \(x=1\), it turns the denominator into \(0\). Which gives us a fraction of the form \(\dfrac{1}{0}\), which is no beuno!! See how we're dividing by 0? So we say that the function is undefined, or in other words, has a `discontinuity` at x=1.

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.0If we were to look at it graphically, it forms an asymptote at x=1. Remember what type of discontinuity that is?
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