Results 1 to 2 of 2

Math Help - Limit questions

  1. #1
    Senior Member
    Joined
    Nov 2012
    From
    Hawaii
    Posts
    260
    Thanks
    2

    Limit questions

    For (f) I know that the limit as x approaches 0 is 2 for f(x), and the limit as x approaches 0 for g(x) is 0
    So is this how you put them together????


    2(2) + 3(0)
    4 + 0 = 4
    Attached Thumbnails Attached Thumbnails Limit questions-image.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    14,996
    Thanks
    1129

    Re: Limit questions

    Yes, there should be a theorem in your book that says that if \lim_{x\to a} f(x)= F and \lim_{x\to a}g(x)= G, then \lim_{x\to a}(f+ g)(x)= F+ G.

    There should also be theorems that say that, under the same hypotheses,
    \lim_{x\to a}(f- g)(x)= F- G.
    \lim_{x\to a}(fg)(x)= FG.
    and, provided g(x) is not 0 in some neighborhood of a,
    \lim_{x\to a}(\frac{f}{g})(x)= \frac{F}{G}.

    There is another limit theorem that is not emphasised nearly enough:
    If f(x)= g(x) for all x except a, the \lim_{x\to a}f(x)= \lim_{x\to a}g(x)
    So that if, for example f(x)= x^2 for all x and g(x)= x^2 for all x except x= 1 and g(1)= 1000, then \lim_{x\to 1}g(x)= \lim_{x\to 1}f(x)= 1.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Limit Questions
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: January 17th 2010, 03:25 PM
  2. New Limit questions
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: October 6th 2009, 01:22 PM
  3. limit questions
    Posted in the Calculus Forum
    Replies: 4
    Last Post: July 17th 2009, 06:40 PM
  4. 2 Limit Questions
    Posted in the Calculus Forum
    Replies: 4
    Last Post: January 19th 2009, 08:37 PM
  5. some limit questions
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 4th 2006, 03:33 PM

Search Tags


/mathhelpforum @mathhelpforum