# Classifying Topics of Discontinuity (removable vs. non-removable) - Page 5

Questions

- What are the removable and non-removable discontinuities, if any, of #f(x)=2/(x+1)#?
- What are the removable and non-removable discontinuities, if any, of #f(x)=(2x^2+4x-70)/(x-5)#?
- What are the discontinuities of #f(x) = (x^4 - 1)/(x-1)#?
- Given the function f defined by f(x) =(2x-2)/(x^2+x-2) for what values of x is f(x) discontinuous?
- How do you find the x values at which #f(x)=(x-1)/(x^2+x-2)# is not continuous, which of the discontinuities are removable?
- What are the discontinuities of #(x-2) / (x-2)(x+2)#?
- How do you find the x values at which #f(x)=1/(x^2+1)# is not continuous, which of the discontinuities are removable?
- What are the removable and non-removable discontinuities, if any, of #f(x)=(x^2 - 3x + 2)/(x^2 - 1) #?
- What are the removable and non-removable discontinuities, if any, of #f(x)=(2x^2+5x-12 )/( x+4) #?
- What is the removable and nonremovable discontinuities in the equation #(x-2)/(x^2 + x - 6)#?
- What is the discontinuity of the function #f(x) = (x^2-9)/(x^2-6x+9)# ?
- How do you find discontinuity of a piecewise function?
- How do I know if a discontinuity in a function is removable or not?
- Can you explain what Zorn's Lemma is about?
- Would this be the right way to plug a "Removable Discontinuity"?
- If #f(x)=[x/3], x in [0, 30]# where [.] denotes Greatest Integer Function , then the discontinuous points of these functions are #x=3, 6, 9, ..., 30#, i.e, when the given function is an integer.But why we did not take the number "0" as a discontinuous pt?
- I need help finding the discontinuities in this graph. If I understand correctly, they should include -3, 2, and 4, but I think I'm missing some. Can anyone help?
- Give a small proof of the above?
- Find all x-values where x is discontinuous. For each discontinuity state which of the three conditions is not fulfilled. Can anyone help me with this?
- Where are these examples discontinuous?