Can someone please help me? walk me through this?
lim (1/x) -1/(x^2)+x)
x->0
That's not quite right.
First note that $\displaystyle \frac{1}{x}-\frac{1}{x^2+x}=\frac{1}{x}-\frac{1}{x(x+1)}$.
The LCD is $\displaystyle x(x+1)$. Can you try to combine the fractions now? You should see some kind of nice cancellation occur.
L'Hôpital's rule is overkill for this one.