Results 1 to 2 of 2

Math Help - Help with trig limit

  1. #1
    Member
    Joined
    Mar 2009
    Posts
    168

    Help with trig limit

    Can anyone show me how the limit of \frac{sin 5x}{x} as x goes to 0 equals 5?

    I'm only supposed to use the fact that \frac{sin x}{x} goes to 1 as x goes to 0.

    Any tips?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Drexel28's Avatar
    Joined
    Nov 2009
    From
    Berkeley, California
    Posts
    4,563
    Thanks
    21
    Quote Originally Posted by paupsers View Post
    Can anyone show me how the limit of \frac{sin 5x}{x} as x goes to 0 equals 5?

    I'm only supposed to use the fact that \frac{sin x}{x} goes to 1 as x goes to 0.

    Any tips?
    If we let z=5x then our limit becomes \lim_{z\to0}\frac{\sin(z)}{\tfrac{z}{5}}........so
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Trig Limit
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 2nd 2008, 04:20 PM
  2. Trig limit
    Posted in the Calculus Forum
    Replies: 7
    Last Post: September 20th 2008, 07:39 PM
  3. trig. limit
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 9th 2008, 10:15 PM
  4. Limit of trig?
    Posted in the Calculus Forum
    Replies: 13
    Last Post: June 2nd 2008, 06:11 PM
  5. Trig Limit
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 21st 2007, 06:16 AM

Search Tags


/mathhelpforum @mathhelpforum