设f(x)在x=0的某邻域内可导,且一介导数等于0,又lim一介导数/x=1则f(0)是否有极值?lim趋于0

设f(x)在x=0的某邻域内可导,且一介导数等于0,又lim一介导数/x=1则f(0)是否有极值?lim趋于0 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 设f(x)有二阶导数,且f''(X)>0,lim(x趋于0）f(x)/x=1 ..证明：当x>0时,有f(x)>x 设f(x)有二阶导数,在x=0的某去心邻域内f(x)≠0,且lim f(x)/x=0,f'(0)=4,求lim (1+f 设f(x)在x=0的某邻域内有可导,且lim f'(x)=1,则f(x)在x=0有极值么,求详解 设f(x)在x=0的邻域内有三阶导数,且x->0时,lim(1+x+f(x)/x)^(1/x)=e^3.求（1）：f(0 求lim（x→0）[(xf'(x))/(2f(x))]^(1/x),其中f(x)在x=0点某邻域内有三阶连续导数,f(0 设f(x)在x=0的某一邻域内二阶可导,且lim(x-->0)f(x)/x=0,f''(0)=2.求lim(x-->0) f(X)在x=x0点的邻域内可导,且f'(x0)=0,lim(x~x0)f'(x)=1,则f(x)在x=x0能否取到极值 f(x)在x=a处有二阶导数,求证x趋于0时lim(((f(a+x)-f(a)/x}-f‘(a))/x=1/2f''(a 设函数f(x)有连续的二阶导数,且f '(0)=0,x趋近于0时,lim f ''(x)/|x|=1, 设函数f(x)有二阶连续导数,且(x->0)lim[f(x)-a]/[e^x^2-1]=0,(x->0)lim[f ‘’