calculus
posted by Anonymous .
Evaluate
lim as x> 1
(x^2 + x 1  1 ) / ( x1 )

Evaluate the limit approaching 1 from both x>1 and x<1 directins. The x1 terms will get switched in sign in the latter case.
Use L'Hopital's rule and see if the limit is the same in both directions.
For x> 1 from above, the limit is 2x + 1 = 3