Calculați fara derivată si formula L'Hospital:

1.[tex]\lim_{x \to \infty} (\frac{x-1}{x} )^{2x}[/tex]

2.[tex]\lim_{x \to \ 0 } \frac{e^{x^2}-cos x }{x^2}[/tex]

3.[tex]a_{n} = \lim_{x \to \ 0 } (1-x-sin(nx))^{\frac{1}{x^2} }[/tex]