# How do I solve the following limit? [Solved]

1. Jul 28, 2015

### BrainFood

Could someone run me through how to solve this please? I am stuck.

$\displaystyle\lim_{x\rightarrow \infty} {\frac{3x+5}{x-4}}$​

2. Jul 28, 2015

### BrainFood

I worked it out. Never mind.

3. Jul 29, 2015

### HallsofIvy

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

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