### Home > PC3 > Chapter 13 > Lesson 13.1.4 > Problem13-48

13-48.

Let $f(x)=\frac{\frac{1}{3+x}-\frac{1}{3}}{x}$.

1. Use a table or graph to evaluate $\lim \limits_{x\rightarrow0}f(x)$.

2. Rewrite $f\left(x\right)$ in the simplest form you can.

$f(x)=\frac{1}{x(3+x)}-\frac{1}{3x}$

Not make a common denominator and subtract the fractions.

3. Evaluate the limit of the simplified function as $x → 0$ without using a calculator.