Chapter 2.4, Problem 26E

a.

To determine

To find: $\underset{x\to 0}{\lim }f\left(x\right)$ by graphing $f\left(x\right)=\frac{\sqrt{3+x}-\sqrt{3}}{x}$.

b.

To determine

To find: $\underset{x\to 0}{\lim }f\left(x\right)$ by evaluating $f\left(x\right)=\frac{\sqrt{3+x}-\sqrt{3}}{x}$ for values of x that approaches 0 from left and from right.

c.

To determine

To find: $\underset{x\to 0}{\lim }f\left(x\right)$ where $f\left(x\right)=\frac{\sqrt{3+x}-\sqrt{3}}{x}$ using limit laws.