f(x)在x=2处连续,lim[f(x)/(x-2)]=3 (X趋向于2),求f(2)和f'(2)

f(x)在x=2处连续,lim[f(x)/(x-2)]=3 (X趋向于2),求f(2)和f'(2) lim(x趋向于0)f(2x)/x=1,且f(x)连续,则f'(0)= 设f(x)在x=1处连续,且lim(x趋向于1时)f(x)/(x-1)=2,则f'(1)=___ 若lim[x/f(3x)]=2(x趋向于0）,则lim[f(2x)/x]=?(x趋向于0) 已知f（x）在x=0处连续,且lim（x趋向0）[f(x)/(e^(x/2))-1]=3,求f(0)+f~(0) 设函数fx在x=2处连续,且lim(x趋向于2)(f(x)/(x-2))=-3,则 设函数f(x)在x=2处连续,且lim（x→2）f(x)/(x-2)(x→2)=3,求f'(2). f(x)在x处二阶可导,求lim{[f(x+h)-2f(x)+f(x-h)]/h^2},h趋向于0 设函数f(x)在点x=0的邻域内连续,极限A=lim((3f(x)-2)/x+ln(1+x)/x^2))其中x趋向于0, f(x)在x=0处三阶可导,当x趋向于0的时候lim[f'(x)/x^2]=1,为什么能推出f'(0)=0 lim f(x)=A x趋向于a limf(x^2)=A x趋向于a^2/1 设函数f(x)在x0处可导,则lim(x趋向于x0)(f((x+xo)/2))-f(x0))/x-xo=?