Determining Limits Using Algebraic Manipulation Practice Test

Find $\lim_{x\to 0}\frac{\sin(3x)}{x}$ by rewriting to match a standard removable form.

A function is defined by $f(x)=\frac{x^2-1}{x-1}$ for $x\ne1$; find $\lim_{x\to1}f(x)$.