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If you have a discontinuity and you can cancel factors in the numerator and the denominator, then it is removable. If you can't cancel those factors to get rid of the discontinuity it is nonremovable. Here is an example that shows both kinds.

f(x) = (x - 2)(x + 3) /[(x - 2) (x - 4)

There is a discontinuity at x=2 but we can cancel out(x-2) from the top and bottom.

That makes it removable. However, at x=4 there also a discontinuity and there is no way to remove that one.

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Q: What is unremovable discontinuity?
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What is function which is has irremovable discontinuity at x-2 removable discontinuity at x2 and continuous at other points?

"Removable discontinuity" means the function is not defined at that point (it has a "hole"), but by changing the function definition at that single point, defining it to be certain value, it becomes continuous. "Irremovable discontinuity" means the function makes a sudden jump at that point. There are infinitely many functions like that; for example, you can set the function to be: f(x) is undefined at x = -2 f(x) = 0 for x < 2 (except for x = -2) f(x) = 1 for x > 2


What did the asymptote say to the removable discontinuity?

Don't hand that holier than thou line to me


What are the limitations of regula falsi method?

Limitations of Regular falsi method: Investigate the result of applying the Regula Falsi method over an interval where there is a discontinuity. Apply the Regula Falsi method for a function using an interval where there are distinct roots. Apply the Regula Falsi method over a "large" interval.


Is the point of discontinuity considered as critical point?

Well, honey, a point of discontinuity is not the same as a critical point in calculus. A critical point is where the derivative is either zero or undefined, while a point of discontinuity is where a function is not continuous. So, in short, they may both be important in their own ways, but they're not the same thing.


Why tan x graph is continuous within its domain and is not continuous out of the domain?

we do not check if a function is continuous or not outside it's domain."first, f has to be defined at c."Tanx is not defined where cosx=0 .ie x=pi/2 , 3pi/2 etcill try to help more here.what domain means is what can you put into a function, whereas range, which i am sure you have heard of as well, just means what you can get out of a function. that being said, lets look further into the graph of tanx. when we do, we see that the graph is discontinuous at pi/2. the reason for this is because tanx is equivalent to sinx/cosx. because of this relationship, when you put pi/2 in for x in sinx/cosx, you end up with cosx=0 which makes your denominator zero, which is undefined, which makes your graph discontinuous. because of that, you cannot put pi/2 in for x in tanx, and since the domain is what you can put into an equation, pi/2 which causes a discontinuity is not included in the domain. basicly, wherever a graph is discontinuous, it wont be included in the domain because you cant put stuff in that will make your graph discontinuous

Related questions

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When was The Discontinuity Guide created?

The Discontinuity Guide was created in 1995.


How many pages does The Discontinuity Guide have?

The Discontinuity Guide has 357 pages.


Who was the Moho Discontinuity named after?

The Moho Discontinuity, also known as the Mohorovičić Discontinuity, was named after the Croatian seismologist Andrija Mohorovičić who discovered it in 1909.


What word will you get when you unscramble this word dustointinyic?

The unscrambled word is discontinuity.


What is the ISBN of The Discontinuity Guide?

The ISBN of The Discontinuity Guide is 0-426-20442-5.


What are the two layers of discontinuity that are part of the interior structure of earth?

The two layers of discontinuity in Earth's interior are the Mohorovičić discontinuity (Moho) that separates the Earth's crust from the underlying mantle, and the Gutenberg discontinuity that marks the boundary between the mantle and the outer core. These discontinuities are characterized by changes in seismic wave velocity and composition.


Is the lehmann discontinuity 220 km beneath the Gutenberg discontinuity?

No, the Lehmann discontinuity is believed to be located between 220 km and 260 km beneath the Earth's surface. The Gutenberg discontinuity, on the other hand, sits at a depth of around 2,900 km.


The seismic discontinuity at the base of the crust is known as?

The seismic discontinuity at the base of the crust is known as the Mohorovičić discontinuity, or Moho for short. It marks the boundary between the Earth's crust and the underlying mantle, where seismic waves experience a sudden change in velocity.


Is the boundary between the liquid core and mantle known as the Moho?

Yes, the boundary between the liquid outer core and the solid mantle is known as the Gutenberg discontinuity. The Mohorovičić discontinuity, or Moho, is the boundary between the Earth's crust and the mantle.


mohorovicic discontinuity?

interface between the crust and the upper mantle