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How do I solve the following limit? [Solved]

  1. Jul 28, 2015 #1
    Could someone run me through how to solve this please? I am stuck.

    [itex]\displaystyle\lim_{x\rightarrow \infty} {\frac{3x+5}{x-4}}[/itex]​
  2. jcsd
  3. Jul 28, 2015 #2
    I worked it out. Never mind.
  4. Jul 29, 2015 #3


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    Science Advisor

    For others who might be interested, the simples thing to do is divide both numerator and denominator by "x":
    [tex]\lim_{x\to\infty} \frac{3x+ 5}{x- 4}= \frac{3+ \frac{5}{x}}{1- \frac{4}{x}}[/tex]

    Now, as x goes to infinity, the terms with x in the denominator go to 0.
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