若 (x)=xf'(xi ), 则 lim _(xarrow 0)dfrac ({s)^2}({x)^2}=-|||-A)1. (B) dfrac (2)(3). (C) dfrac (1)(2). (D) dfrac (1)(3).

1.求下列极限:-|||-(1) lim _(xarrow 0)dfrac (sin 2x)(x);-|||-(3) lim _(xarrow dfrac {p

lim _(xarrow 0)dfrac ({x)^2sin dfrac (1)(x)}(tan x)=A.0B.1C.lim _(xarrow 0)dfrac

若lim _(xarrow 0)dfrac ({(1+a{x)^2)}^sin x-1}({x)^3}=6-|||-__，则lim _(xarrow 0)dfr

(2) lim _(xarrow infty )((dfrac {x+1)(x-1))}^-dfrac (x{2)}= () ;-|||-(A)1 (B) ^d

已知 lim _(xarrow 0)([ 1+x+dfrac {f(x))(x)] }^dfrac (1{x)}=(e)^3, 则 lim _(xarrow 0

则 int xf(x)dx= () .-|||-A、 dfrac (1-ln x)({x)^2}+C B、 dfrac (1)(x)+c C、 ln x-x+C

5.设函数 (x)=cos x, 则 (int )_(0)^dfrac (pi {2)}xf(x)dx= ()-|||-【】-|||-A.0 B 1 C -1

(2) lim _(xarrow 0)dfrac ({(1-dfrac {1)(2)(x)^2)}^dfrac (2{3)}-1}(xln (1+x))

lim _(xarrow 0)((dfrac {1+{2)^x}(2))}^dfrac (1{x)}= __

lim _(xarrow 1)(dfrac (a)(1-{x)^2}+dfrac (x)(x-1))=dfrac (3)(2) = __