Results 1 to 2 of 2

Math Help - Problem Limit 4_2

  1. #1
    Member
    Joined
    Dec 2009
    Posts
    80

    Problem Limit 4_2

     lim_{x \to 0+} \frac{xsin^2\frac{1}{x}}{sin^2\frac{1}{x}+cos^2\fr  ac{2}{x}}

     lim_{x \to 0-} \frac{xsin^2\frac{1}{x}}{sin^2\frac{1}{x}+cos^2\fr  ac{2}{x}}
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by gilyos View Post
     lim_{x \to 0+} \frac{xsin^2\frac{1}{x}}{sin^2\frac{1}{x}+cos^2\fr  ac{2}{x}}

     lim_{x \to 0-} \frac{xsin^2\frac{1}{x}}{sin^2\frac{1}{x}+cos^2\fr  ac{2}{x}}


     \left|\frac{x\sin^2\frac{1}{x}}{\sin^2\frac{1}{x}+  \cos^2\frac{2}{x}}\right|\le \left|\frac{x\sin^2\frac{1}{x}}{\sin^2\frac{1}{x}}  \right|=|x|\xrightarrow [x\to 0]{}0

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 6
    Last Post: August 13th 2010, 02:03 AM
  2. Replies: 1
    Last Post: August 8th 2010, 12:29 PM
  3. A limit problem
    Posted in the Calculus Forum
    Replies: 8
    Last Post: September 6th 2009, 02:37 AM
  4. Limit, Limit Superior, and Limit Inferior of a function
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: September 3rd 2009, 06:05 PM
  5. limit e problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 25th 2007, 09:04 AM

Search Tags


/mathhelpforum @mathhelpforum