# Limits : $x^{-1} \sin(x)$ as x -> 0 and $\tfrac{\ln(x)}{1-x}$ as x-> 0

a) What is the limit of $x^{-1} \sin(x)$ as x -> 0? Show all steps in deriving the limit.

b) What is the limit of $\tfrac{\ln(x)}{1-x}$ as x-> 0? Show all steps in deriving the limit.