Results 1 to 5 of 5

Math Help - limit help!!

  1. #1
    Member
    Joined
    Aug 2012
    From
    north carolina
    Posts
    107

    limit help!!

    to prove that sine is continuous we need to show that limx--> sin(x)=sin(a) for every real number a. if we let h=x-a, then x=a+h and x-->a <--> h-->0. so an equivalent statement is that

    limh-->0sin(a+h) = sin(a)

    use the theorem:

    limx-->0cos(x) = 1 and limx-->0sin(x)=0

    to show that this is true.


    please help me with detailed steps!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,530
    Thanks
    774

    Re: limit help!!

    You are supposed to use the identity for the sine of a sum of angles and the theorems about the limit of the sum and product of functions.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Aug 2012
    From
    north carolina
    Posts
    107

    Re: limit help!!

    can you show me what you mean please?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,579
    Thanks
    1418

    Re: limit help!!

    Look up the identities for cos(x+ y) and sin(x+y).
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,530
    Thanks
    774

    Re: limit help!!

    Have you followed the link and found the formula? You need to rewrite sin(a+h). Also, do you know theorems about the limit of product and sum of functions?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: September 6th 2012, 09:09 AM
  2. Replies: 1
    Last Post: August 8th 2010, 11:29 AM
  3. Replies: 16
    Last Post: November 15th 2009, 04:18 PM
  4. Limit, Limit Superior, and Limit Inferior of a function
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: September 3rd 2009, 05:05 PM
  5. Replies: 15
    Last Post: November 4th 2007, 07:21 PM

Search Tags


/mathhelpforum @mathhelpforum