1. Jul 28, 2015 #1

   BrainFood

   

   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]​

    

   BrainFood, Jul 28, 2015
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3. Jul 28, 2015 #2

   BrainFood

   

   I worked it out. Never mind.

    

   BrainFood, Jul 28, 2015
4. Jul 29, 2015 #3

   HallsofIvy

   

   Staff Emeritus

   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.

    

   HallsofIvy, Jul 29, 2015

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