Results 1 to 2 of 2

Math Help - Continuous functions

  1. #1
    Member
    Joined
    Feb 2009
    Posts
    91

    Continuous functions

    Hi

    The question is "find the value of k for each of the following functions that make them continueous everywhere"

    F(x) = (2x^2-x-15)/(x-3) if x<3

    and

    F(x) = kx-1 if x >=3

    What I don't understand is how you solve this if

    lim f(x) = lim (2x^2-x-15)/(x-3) does not exist since you can't
    x->3- x->3-

    divide by zero.

    I have six calculus books I am looking through and I can't find a single example of this. Any enlightenment would be greatly appreciated.

    Thanks in advance from
    this calculus beginner
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Hello,

    But if you let g(x)=2x^2-x-15, you can see that g(3)=0
    thus (x-3) is a factor of 2x^2-x-15

    more precisely, 2x^2-x-15=(x-3)(2x-5)

    and you can calculate the limit !
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Continuous functions
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: May 22nd 2010, 06:29 PM
  2. more continuous functions
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: October 5th 2009, 12:57 PM
  3. continuous functions
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: October 4th 2009, 01:47 PM
  4. Continuous functions
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: April 10th 2009, 01:10 AM
  5. On continuous functions
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 1st 2008, 12:58 AM

Search Tags


/mathhelpforum @mathhelpforum