Results 1 to 3 of 3

Math Help - Help Limits

  1. #1
    Junior Member
    Joined
    Dec 2009
    Posts
    46

    Help Limits

    Hii !

    I don't know Calculat This Limits :

    1. \lim_{x \to 1^+ } \frac{\sqrt{x^2-9} + \sqrt{x} - \sqrt{3}}{\sqrt{x-3} }

    2. \lim_{x \to \frac{\Pi }{4}} \frac{1 -\sqrt{2}\cos x}{ 1-\sqrt{2}\sin x }



    Can You Help Me
    Last edited by CaptainBlack; February 28th 2010 at 05:54 AM. Reason: 5 additional questions deleted, repost two per thresd in new threads
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by Perelman View Post
    Hii !

    I don't know Calculat This Limits :

    1. \lim_{x \to 1^+ } \frac{\sqrt{x^2-9} + \sqrt{x} - \sqrt{3}}{\sqrt{x-3} }
    x=1 is a point at which the expression is continuous so just substitute x=1 and evaluate (it is complex).

    2. \lim_{x \to \frac{\Pi }{4}} \frac{1 -\sqrt{2}\cos x}{ 1-\sqrt{2}\sin x }
    L'Hopital's rule:

    \lim_{x \to \frac{\pi }{4}} \frac{1 -\sqrt{2}\cos (x)}{ 1-\sqrt{2}\sin (x) }=\lim_{x \to \frac{\pi }{4}} \frac{+\sqrt{2}\sin (x)}{ -\sqrt{2}\cos (x) }

    CB
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    11
    or note that \frac{1-\sqrt{2}\cos x}{1-\sqrt{2}\sin x}=\frac{1-2\cos ^{2}x}{1-2\sin ^{2}x}\cdot \frac{1+\sqrt{2}\sin x}{1+\sqrt{2}\cos x},
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Using limits to find other limits
    Posted in the Calculus Forum
    Replies: 7
    Last Post: September 18th 2009, 05:34 PM
  2. Function limits and sequence limits
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: April 26th 2009, 01:45 PM
  3. HELP on LIMITS
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 23rd 2008, 11:17 PM
  4. Limits
    Posted in the Calculus Forum
    Replies: 5
    Last Post: September 21st 2008, 10:52 PM
  5. [SOLVED] [SOLVED] Limits. LIMITS!
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 25th 2008, 10:41 PM

Search Tags


/mathhelpforum @mathhelpforum