Results 1 to 4 of 4

Math Help - limits

  1. #1
    rmn
    rmn is offline
    Junior Member
    Joined
    Sep 2007
    Posts
    26

    limits

    if the lim of f(X)/x^(2)=1 as x approaches -2, find lim f(x) as x approaches -2 and lim f(x)/x as x approaches -2

    I have no idea how to do this >< isn't it 1??
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by rmn View Post
    if the lim of f(X)/x^(2)=1 as x approaches -2, find lim f(x) as x approaches -2 and lim f(x)/x as x approaches -2

    I have no idea how to do this >< isn't it 1??
    \lim_{x\to -2} \frac{f(x)}{x^2} = 1

    Then,
    \lim_{x\to -2} \frac{f(x)}{x} = \lim_{x\to -2} \frac{f(x)}{x^2} \cdot x = (1)(-2) = -2

    Then,
    \lim_{x\to -2}f(x) = \lim_{x\to -2}\frac{f(x)}{x^2} \cdot x^2 = (1)(-2)^2 = 4
    Follow Math Help Forum on Facebook and Google+

  3. #3
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by rmn View Post
    if the lim of f(X)/x^(2)=1 as x approaches -2, find lim f(x) as x approaches -2 and lim f(x)/x as x approaches -2

    I have no idea how to do this >< isn't it 1??
    \lim_{x \to -2} \frac {f(x)}{x^2} = \lim_{x \to -2} \frac {f(x)}{4} = 1

    \Rightarrow \frac 14 \lim_{x \to -2}f(x) = 1

    now continue
    Follow Math Help Forum on Facebook and Google+

  4. #4
    rmn
    rmn is offline
    Junior Member
    Joined
    Sep 2007
    Posts
    26
    thanks, so we should multiply it by something that will get rid of the x and make it what we're looking for? and then substitute?
    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