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Explain why each function is discontinuous at the given point. f(x) = x/x  1 at x = 1
 one year ago
 one year ago
Explain why each function is discontinuous at the given point. f(x) = x/x  1 at x = 1
 one year ago
 one year ago

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LethalBest ResponseYou've already chosen the best response.0
so what is discontinuous?
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
you mean the word discontinuous or?
 one year ago

onegirlBest ResponseYou've already chosen the best response.0
well it means having a gap... missing doesn't continue
 one year ago

LethalBest ResponseYou've already chosen the best response.0
i don't get it. why would this function be discontinuous
 one year ago

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

zepdrixBest 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.
 one year ago

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