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Math Help - continuity

  1. #1
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    continuity

    Use continuity to evaluate the limit.
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by ryan18 View Post
    Use continuity to evaluate the limit.

    I'm not sure what you mean per se, but I can show that this function is continuous at x=1
    Let [tex]f(x)=e^{2x^5-2x}[/MATh].

    1. f(x) is defined at x=1

    2. \lim_{x\to1}f(x)\mbox{ exists }

    3. \lim_{x\to1}f(x)=f(1).

    \therefore~{f(x)} is continiuous at x=1 by definition.



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    Last edited by VonNemo19; February 2nd 2010 at 05:31 PM.
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  3. #3
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    Quote Originally Posted by ryan18 View Post
    Use continuity to evaluate the limit.
    You said "use continuity to evaluate the limit" so I suspect you are not required to prove this is continuous. A function is defined to be continuous at x= a if \lim_{x\to a} f(x)= f(a). Sinmce this function is continuous, to evaluate the limit, you just have to evaluate the function itself: set x= 1.
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