1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Simple Sine lim Understanding question

  1. Jan 22, 2010 #1
    1. The problem statement, all variables and given/known data
    prove lim h-->0 sin(h)/h = 1

    2. Relevant equations
    I understand the idea of squeze theorom. Understand that area of small triangle < sector area< big triangle. I know 1/2sin(h) < 1/2h < 1/2(sin(h)/cos(h)). In my calc book it goes from sinh< h< (sinh/cosh) to cos(h)/sin(h)< 1/h <1/sin(h). How does this happen?

    3. The attempt at a solution

    multiply outside by cos(h) but inside is just reciprocal.
    Last edited: Jan 22, 2010
  2. jcsd
  3. Jan 22, 2010 #2


    User Avatar
    Science Advisor
    Homework Helper

    If you have two positive numbers with a<b, then 1/a>1/b.
  4. Jan 22, 2010 #3
    Thank You :-)
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Simple Sine lim Understanding question
  1. Lim inf/sup question (Replies: 6)

  2. Lim inf/sup question (Replies: 1)

  3. Very simple lim (Replies: 4)