Lim (1/x-lnx) as x approaches 0 from left hand side

Question

Determine the infinite limit

lim (1/x-lnx)  as x approaches 0 from left 

Answer 1

The domain of a logarithm is all positive numbers. Since the limit approaching x=0 from the left constitutes all negative values increasing as it gets to x=0, the limit as x approaches zero from the left does not exist.