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Math Help - Troubled on some kind of limit problem...

  1. #1
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    Troubled on some kind of limit problem...




    I can't seem to figure out for what value of the constant c is the function f continuous on negative infinity to positive infinity
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    Quote Originally Posted by frozenflames View Post



    I can't seem to figure out for what value of the constant c is the function f continuous on negative infinity to positive infinity
    For it to be continous it needs to be continous at b=9

    This mean that

    \lim_{b \to 9^-}f(b)=f(9)=\lim_{b \to 9^+}f(b)

    so we need to sove 9c+5=81c-5 \iff 10=72c \iff c=\frac{5}{32}
    Last edited by TheEmptySet; October 3rd 2009 at 07:50 AM. Reason: I had a dyslexic moment. Error corrected.
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    Quote Originally Posted by TheEmptySet View Post
    For it to be continous it needs to be continous at b=9

    This mean that

    \lim_{b \to 9^-}f(b)=f(9)=\lim_{b \to 9^+}f(b)

    so we need to sove 9c+5=81c-5 \iff 10=72c \iff c=\frac{32}{5}
    I think you did the final part of the math wrong. It should be 10/72 not the other way around right?
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  4. #4
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    Quote Originally Posted by frozenflames View Post
    I think you did the final part of the math wrong. It should be 10/72 not the other way around right?
    You shouldn't need re-assurance on how to solve 10 = 72c. The typo is obvious.
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