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Math Help - Limits

  1. #1
    Junior Member
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    Limits

    1.) Compute the following limit.

    The limit is approaching infinity. The equation is 5x+3 over 3x-2
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  2. #2
    MHF Contributor
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     <br />
\lim_{x\rightarrow\infty}\frac{5x+3}{3x-2}<br />

     <br />
=\lim_{x\rightarrow\infty}\frac{\frac{5x}{x}+\frac  {3}{x}}{\frac{3x}{x}-\frac{2}{x}}<br />

    Note that x approches infinity , 1/x approaches 0 .
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  3. #3
    MHF Contributor
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    Quote Originally Posted by mathaddict View Post
     <br />
\lim_{x\rightarrow\infty}\frac{5x+3}{3x-2}<br />

     <br />
=\lim_{x\rightarrow\infty}\frac{\frac{5x}{x}+\frac  {3}{x}}{\frac{3x}{x}-\frac{2}{x}}<br />

    Note that x approches infinity , 1/x approaches 0 .
    You made a tiny error I believe. When writing everything over x, the 5x should be 5x^2 and the 3x should be 3x^2,but you don't need to write them like this to solve this limit which should be 5/3
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