How do I solve the following limit? [Solved]

  • Thread starter BrainFood
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  • #1
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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]​
 

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  • #2
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I worked it out. Never mind.
 
  • #3
HallsofIvy
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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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