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Math Help - use continuity to evaluate the limit

  1. #1
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    use continuity to evaluate the limit

    \lim_{x\to4} (5+sqrt(x))/(sqrt(5)+x)

    Answer is 7/3 but i have no idea how to get that answer. I tried but i get something else
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  2. #2
    ynj
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    Quote Originally Posted by yoman360 View Post
    \lim_{x\to4} (5+sqrt(x))/(sqrt(5)+x)

    Answer is 7/3 but i have no idea how to get that answer. I tried but i get something else
    personally, i think there should be a typing error.
    it should be \lim_{x\to4}\frac{(5+\sqrt{x})}{(\sqrt{5+x})}
    not \lim_{x\to4}\frac{(5+\sqrt{x})}{(\sqrt{5}+x)}
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  3. #3
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    Quote Originally Posted by ynj View Post
    personally, i think there should be a typing error.
    it should be \lim_{x\to4}\frac{(5+\sqrt{x})}{(\sqrt{5+x})}
    not \lim_{x\to4}\frac{(5+\sqrt{x})}{(\sqrt{5}+x)}
    ur correct i wrote it incorrectly
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  4. #4
    ynj
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    then \lim_{x\to4}\frac{(5+\sqrt{x})}{(\sqrt{5+x})}=\fra  c{\lim_{x\to4}(5+\sqrt{x})}{\lim_{x\to4}(\sqrt{5+x  })}=\frac{7}{3}
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