Results 1 to 3 of 3

Math Help - Removable Discontinuity problem.

  1. #1
    Newbie
    Joined
    Jul 2010
    Posts
    24

    Removable Discontinuity problem.

    Find the values of x(if any) at which f is not continuous and determine whether each such value is a removable discontinuity.

    1. f(x) = x^2-4/x^3-8
    2. f(x) = {2x-3, x is less than or equal to 2
    x^2, x>2
    3. f(x) = { 3x^2+5, x is not equal to 1
    6, x=1

    i dont really know where to start.i have read the book but can't really understand. someone help please.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,110
    Thanks
    2
    First, please fix your notation. For #1, you have written x^{2} - \frac{4}{x^{3}}-8. I'm guessing this is not your intent.

    A) Standard dogmat. Denominator = 0 spells discontinuity.
    B) Help is on the way...If the numerator is also zero, for the same value of x, what can we do?

    Thus, factor. Find common factors.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member Sambit's Avatar
    Joined
    Oct 2010
    Posts
    355
    I guess ejaykasai meant \frac{x^2-4}{x^3-8} Factorizing both numerator and denominator, you will get a factor x-2 in both cases. So the function is continuous at every point except at x=2.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] removable discontinuity and the derivative
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 26th 2010, 02:11 PM
  2. Removable Discontinuity Experts Required
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 29th 2009, 03:29 PM
  3. Removable discontinuity..
    Posted in the Calculus Forum
    Replies: 8
    Last Post: September 13th 2009, 01:55 PM
  4. Help finding the removable discontinuity?
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: September 2nd 2009, 03:46 PM
  5. Essential & removable discontinuity
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: August 4th 2009, 09:52 AM

Search Tags


/mathhelpforum @mathhelpforum