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Math Help - examples of the limit of f+g

  1. #1
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    examples of the limit of f+g

    Does anyone know any examples that even though f and g fail to have limits at x_0, it is possible for f+g to have a limit at x_0, and examples for the same conditions but fg and f/g?
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by tn11631 View Post
    Does anyone know any examples that even though f and g fail to have limits at x_0, it is possible for f+g to have a limit at x_0, and examples for the same conditions but fg and f/g?
    This is a common theme throughout intro. real analysis. You agree that there are functions f which don't have limits, right? You agree that \lim_{x\to x_0}0=0 for any x_0, right? Combine the two.
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    Quote Originally Posted by Drexel28 View Post
    This is a common theme throughout intro. real analysis. You agree that there are functions f which don't have limits, right? You agree that \lim_{x\to x_0}0=0 for any x_0, right? Combine the two.
    yea i think i figured out one example that works for all three. I tired to delete the thread right when i realized. Sorry!! but thank you.
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