设f(x)在x=0的邻域内具有二阶导数,且lim(x趋于0)(1+x+f(x)/x)^(1/x)=e^3(1)求f(0),f'(0)和f''(0) (2)求lim(x趋于0)(1+f(x)/x)^(1/x)

问题描述:

设f(x)在x=0的邻域内具有二阶导数,且lim(x趋于0)(1+x+f(x)/x)^(1/x)=e^3
(1)求f(0),f'(0)和f''(0)
(2)求lim(x趋于0)(1+f(x)/x)^(1/x)