设f(x)连续, varphi (x)=(int )_(0)^1f(xt)dt, 且 lim _(xarrow 0)dfrac (f(x))(x)=A设f(x)连续, varphi (x)=(int )_(0)^1f(xt)dt, 且 lim _(xarrow 0)dfrac (f(x))(x)=A

设f(x)连续,且 (x)=x+2(int )_(0)^1f(t)dt, 则 f(x)= __

[题目]设f(x)是连续函数,且 (x)=x+2(int )_(0)^1f(t)dt,-|||-则 f(x)= __

设 f ( x ) 是连续奇函数且(int )_(0)^1f(x)dx=-2 则 (int )_(0)^1f(x)dx=-2设f(x)是连续奇函数且则

给定以下4个命题① 若lim f(x) = a，且lim varphi(x) = 0，则lim [f cdot varphi](x) = a。② 若f(x)在x

设f`(x)连续, (0)=0, (0)=2, 极限 lim _(xarrow 0)dfrac ({int )_(0)^xln cos (x-t)dt}(sqr

设函数 varphi(x) 连续，且满足 varphi(x)= e^x + int_0^x t varphi(t), dt - x int_0^x varphi

设f(x)是连续函数,且 (x)=(x)^2+2(int )_(0)^2f(t)dt 则 f(x)=设f(x)是连续函数,且 (x)=(x)^2+2(int )

[例1.20]设f`(x)连续, (0)=0, (0)neq 0, 求 lim _(xarrow 0)dfrac ({int )_(0)^(x^2)f((x)^

[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

设函数f(x)在 (-infty ,+infty ) 上连续,且 (x)=(x)^2-x(int )_(0)^1f(x)dx, 则f(x)为 (-|||-