How do I solve the following limit?

  • Context: Undergrad 
  • Thread starter Thread starter BrainFood
  • Start date Start date
  • Tags Tags
    Limit
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
2 replies · 1K views
BrainFood
Messages
3
Reaction score
0
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]​
 
Physics news on Phys.org
I worked it out. Never mind.
 
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.