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.

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