[例15]设f(x)连续可导,且 lim _(xarrow 0)([ 1+x+dfrac {f(x))(x)] }^dfrac (1{x)}=(e)^3, 求f(0),f`(0), ''(0)-|||-lim _(xarrow 0)([ 1+dfrac {f(x))(x)] }^dfrac (1{x)}