Hi,

I have

$\displaystyle \lim_{x \to 0+} ~\frac{sin^2x}{tan~x-x}$

Now replace the trig functions with its corresponding taylor polynomial

$\displaystyle \frac{\bigg(x-\frac{x^3}{3!}\bigg)^2}{\bigg(x+\frac{x^3}{3}\bigg )-x}$

This limit evaluates to infinity, i don't understand why. It looks more like -2 to me