Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Limit of absolute value

  1. Sep 23, 2005 #1
    Is it correct that [itex]|\sin x|=-\sin x[/itex] as [itex]x\rightarrow 0-[/itex]?

    It's clear for a function like [itex]y=x[/itex], but I ask the question since the sine oscillates from positive to negative values, so for different x's the abs. value is either pos. or neg. Or do I only need to consider values of x that are between -pi and 0?

    I know the limit is zero, I just need to know how to write the intermediate step of getting rid of the abs. value sign.

    - Kamataat
  2. jcsd
  3. Sep 23, 2005 #2


    User Avatar
    Homework Helper

    If you're approaching 0 from the left (so bottom, smaller values i.e. negatives) then the sine is negative there, so |sinx| indeed becomes -sinx.
  4. Sep 23, 2005 #3
    Thanks for the quick reply!

    - Kamataat
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Limit of absolute value
  1. Limit value (Replies: 2)