If f is the function defined by f(x)=[tex]\frac{\frac{1}{x} -1 }{x-1}[/tex], then limx→1f(x) is equivalent to which of the following?

A)limx→1([tex]\frac{-1}{x}[/tex])
B)limx→1(1[tex]x^{2}[/tex]−1)
C)limx→1([tex]\frac{x−1}{x−1}}[/tex])
D)[tex]\frac{limx→1(\frac{1}{x} −1)}{limx→1(x−1)}[/tex]

please show how you work this out! I need help ASAP!!!