2.设 f(x)= dfrac (sqrt {a)-sqrt (a-x)}(x),xlt 0 (agt 0), 当a取何值时,f(x )在 x=0 处连续.-|||-dfrac (cos x)(x+2),xgeqslant 0

03求极限 lim _(xarrow 0)dfrac (sqrt {a+x)-sqrt (a-x)}(x)(agt 0)

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

(4)若 (int )_(0)^1f(x)dx=agt 0, 则 (int )_(0)^1dfrac (1)(sqrt {x)}f(sqrt (x))dx=()

设f（x）={sqrt(|x|)sin(1)/({x)^2)，x≠0}0，x=0).，则f（x）在x=0处（ ）A. 极限不存在B. 极限存在但不连续C. 连续

。-|||-8.设 f(x)= ,xgt 0, 0,x=0, dfrac {1-cos {x)^2}(x),xlt 0, .-|||-x=0,求f(x),

2.设函数f(x)在区间 (-1,1) 内有定义,且 lim _(xarrow 0)f(x)=0, 则 ()-|||-A.当 lim _(xarrow 0)df

[题目]设f(x)在 x=0 处连续,且 lim _(xarrow 0)dfrac ((f(x)+1){x)^2}(x-sin x)=2,-|||-则曲线 =f

(2)设函数f(x)在区间 (-1,1) 内有定义,且 lim _(xarrow 0)f(x)=0, 则-|||-(A)当 lim _(xarrow 0)dfr

7.设函数 f(x)= -dfrac {cos x)(x),xneq 0 0,x=0 .-|||-(1)讨论f(x)在 x=0 处的连续性和可导性;-||

11.设 (x)=dfrac (x)(sqrt {1+{x)^2}} 求 [ f(x)] , f[ f(x)] .