Physics I / Limits and continuity
Practice question · Sort into groups

Sort these functions based on the type of discontinuity.

Groups: Removable · Non-Removable

Hints
  1. Ask whether redefining a single point would repair the function.
  2. A jump and a vertical asymptote both resist repair, for different reasons.
Show the answer

Removable: f(x)=(x2)/xf(x) = (x^{2})/x, f(x)=sin⁡(x)/xf(x) = \sin(x)/x

Non-Removable: f(x)=1/xf(x) = 1/x, f(x)=∣x∣/xf(x) = |x|/x, f(x)=1/x2f(x) = 1/x^{2}

Why

Removable discontinuities can be filled by redefining the point.

Read the lesson: Limits and continuity →

Practise Limits and continuity

The app has 8 more questions on this lesson, and keeps your place in the course. Physics I is free to start.

Start Physics I free Get it onGoogle Play

More questions on Limits and continuity