Explore BrainMass

Explore BrainMass

    Working with limits.

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    See attached

    1) F(x) = Is this continuous at x = 3?

    © BrainMass Inc. brainmass.com December 24, 2021, 4:57 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/working-with-limits-17739

    Attachments

    SOLUTION This solution is FREE courtesy of BrainMass!

    Please see the attachment..

    1) F(x) = Is this continuous at x = 3?
    • If a function f is continuous at x = a then we must have the following three conditions.
    1. f(a) is defined; in other words, a is in the domain of f.
    2. The limit

    must exist.
    3. The two numbers in 1. and 2., f(a) and L, must be equal.

    thus

    When we calculate, f(3), it is not well defined... the first condition fails and the function is not continuous at x = 3

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 4:57 pm ad1c9bdddf>
    https://brainmass.com/math/calculus-and-analysis/working-with-limits-17739

    Attachments

    ADVERTISEMENT