When finding the limit using the step by step Lhopital solver in Calculus Made Easy of (1/(x-1)) – (1/(ln(x)) as x approaches 1+
We suggest to first find the common denominator to avoid the difference.
Rewrite it as (ln(x)-x+1)/(ln(x)*(x-1)) and enter as such in the Lhopital solver and you will get the correct solution of -1/2