Determining One Sided Limits

Key Questions

  • What is a one-sided limit?

    This is when you attempt to evaluate the limit of a function from either the left side or the right side.

    AJ Speller · · Sep 11 2014
  • When is a one sided limit undefined?

    A one sided limit does not exist when:

    1.#""# there is a vertical asymptote.

    ex.) #lim_{x to 0^+} 1/x =1/{0^+}=+infty#

    So, the limit does not exist.

    2.#""# there are violent oscillations.

    ex.) #lim_{x to 0^-}sin(1/x)# does not exist

    due to violent oscillations, which looks like:

    enter image source here

    I hope that this was helpful.

    Wataru · 2 · Dec 12 2014

Questions

Limits