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Math Help - finding a limit using only algebra

  1. #1
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    finding a limit using only algebra

    Use algebra to find the Limit as X approaches infinity of (1+12x) / (8-3x)

    not being able to use the properties of limits and such, I have no clue where to even start.
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  2. #2
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    Quote Originally Posted by Yamahammer342 View Post
    Use algebra to find the Limit as X approaches infinity of (1+12x) / (8-3x)

    not being able to use the properties of limits and such, I have no clue where to even start.
    \lim_{x \to \infty} \frac{1+12x}{8-3x} =

    divide every term by x ...

    \lim_{x \to \infty} \frac{\frac{1}{x}+12}{\frac{8}{x}-3} = \frac{12}{-3} = -4<br />
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    Quote Originally Posted by Yamahammer342 View Post
    Use algebra to find the Limit as X approaches infinity of (1+12x) / (8-3x) not being able to use the properties of limits and such, I have no clue where to even start.
    \frac{{1 + 12x}}{{8 - 3x}} = \frac{{\frac{1}{x} + 12}}{{\frac{8}<br />
{x} - 3}}
    That is all the algebra there is to it.
    Now I have no idea what you are expected to do other than to realize that
    \frac{1}{x} \to 0\text{  as  } x \to \infty
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