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Proszę o pomoc!

1)lim x->0 e^x-1-x/x^2

2) lim x->0+ tgx-x/x^2

\(1)\\ \Lim_{x\to 0} \frac{e^{x-1}-x}{x^2}= \frac{e^{-1}}{0} \to + \infty\)

\(2)\\ \Lim_{x\to 0} \frac{tgx-x}{x^2}=(H)= \Lim_{x\to 0 } \frac{cos^{-2}x-1}{2x}=(H)= \Lim_{x\to 0} \frac{-2cos^{-3}x \cdot (-sinx)}{2}= \Lim_{x\to 0} \frac{sinx}{cos^3x}= \frac{0}{1}=0\)