设f(x)在x=0处二阶可导,且极限(sinx+xf(x))/x^3=0,(x→0),求f(0),f'(0),f''(0

设函数可导,且满足xf'(x)=f'(-x)+1,f(0)=0 求f'(x) 求f(x)的极限 已知lim(x→0)(sinx+xf(x))/x^3=1/3,求f(0),f'(0),f"(0) 一道极限题目lim(x→0)sinx+xf(x)/x^3=1/2 求f(0),f`(0),f``(0) 设f''(x)在[0,1]连续,且f(0)=1,f(2)=3,f'(2)=5,求∫[0,1]xf''(2x)dx 设当x>0时,函数f(x)连续且满足f(x)=x+∫(1,x)1/xf(t)dt,求f(x) 设f(x)为连续函数,且满足设f(x)=x+∫(0,1)xf(x)dx,求f(x) 定义域R的奇函数f(x)在(0,+∞）上是增函数且f(-3)=0,求不等式xf(x)0,f(x)0,f(x) f(x)在x=0的领域内有二阶导数,又x→0时lim((sinx+xf(x))\x3)=1/2,求f(0),f'(0), 设f(x)在x=0处存在二阶导数,且lim(x→0)(xf(x)-ln(1+x))/x^3=1/3求f(0),f'(0) 设f(X)连续且满足 f(x)=e^x+sinx- ∫ x 0 (x-t)f(t)dt,并求该函数f(x) 导数定义求极限设f'(x0)存在,求当x→0时f(x)/x的极限,其中f(0)=0,且f(0)存在 设函数f(x)在x=0点连续 且满足limx->0(sinx/x^2+f(x)/x)=2求f'(0)