answersLogoWhite

0

What is unremovable discontinuity?

Updated: 4/28/2022
User Avatar

Wiki User

13y ago

Best Answer

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.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is unremovable discontinuity?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Calculus

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?

y=x+3/[(x-4)(x+3)] Definition: a critical number of a function f is a number c in the domain of f such that f'( c) = 0 or f'(c) doesn't exist. Since we have a rational function, the domain is all real numbers except the numbers that make the denominator zero. Therefore, x cannot be -3 and 4. There is a hole on the graph of the function at x = -3, and x = 4 is a vertical asymptote. Simplify first, then take the derivative of y. y = (x + 3)/[(x - 4)(x + 3)] = 1/(x - 4) y' = [1/(x - 4)]' use the quotient rule y' = [(x - 4)(0) - 1(1)]/(x - 4)^2 = -1/(x - 4)^2. Since the numerator is a constant, then y' is never zero, so there is not a critical point.


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

Is 'unremovable' a word or just slang?

It is the word removable with the prefix 'un' meaning not. unremovable = not removable


Where is the BIOS located?

your system's BIOS is stored on an unremovable chip on your computer's motherboard. your system's BIOS is stored on an unremovable chip on your computer's motherboard. your system's BIOS is stored on an unremovable chip on your computer's motherboard. your system's BIOS is stored on an unremovable chip on your computer's motherboard. your system's BIOS is stored on an unremovable chip on your computer's motherboard. your system's BIOS is stored on an unremovable chip on your computer's motherboard. it is permanently stored on one or two ROM ICs installed on the system board


What is gutenburg discontinuity?

The zone of discontinuity in the density between mantle and core is known as gutenburg discontinuity.


When was The Discontinuity Guide created?

The Discontinuity Guide was created in 1995.


Is the lehmann discontinuity 220 km beneath the Gutenberg discontinuity?

no


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

Mohorovicic discontinuity


Who discovered Gutenberg Discontinuity?

Beno Gutenberg discovered the Gutenberg Discontinuity.


How many pages does The Discontinuity Guide have?

The Discontinuity Guide has 357 pages.


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

discontinuity


Where did mohorovicic discontinuity get its name?

the mohorovicic discontinuity was named after ANDRIJA MOHOROVICIC.


How thick is the moho discontinuity?

The Moho discontinuity is 31 miles/50KM thick.


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

The unscrambled word is discontinuity.