当|x|较小时,证明下列近似公式:-|||-(1) sin xapprox x ;-|||-(2) ^xapprox 1+x;-|||-(3) sqrt [n](1+x)approx 1+dfrac (x)(n)

当|x|较小时,证明下列近似公式:-|||-(1) sin xapprox x :-|||-(2) ^xapprox 1+x ;-|||-(3) sqrt [3

=dfrac (sqrt {1+x)-sqrt (1-x)}(sqrt {1+x)+sqrt (1-x)}

(9) =dfrac (sqrt {1+x)-sqrt (1-x)}(sqrt {1+x)+sqrt (1-x)} ;

求下列函数的n阶导数:-|||-(1) =sqrt [m](1+x) ;-|||-(2) =dfrac (1-x)(1+x)

(7) lim _(xarrow infty )dfrac (sqrt {1+x)-1}(sqrt [3]{1+x)-1}

A.sqrt(1+x) B.(sqrt(1+x))/(2) C.(sqrt(1+x))/(sqrt(x)) D.(sqrt(1+x))/(2sqrt(x)

int_(1)^sqrt(3) dfrac(d x)(x^2 sqrt(1+x^2))$ \int_{1}^{\sqrt{3}} \dfrac{d x}{x^{

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

int dfrac (1)({x)^2}sqrt (dfrac {1-x)(1+x)}dx

证明:ln dfrac (1+x)(1-x)+cos xgeqslant 1+dfrac ({x)^2}(2) -1lt xlt 1.证明:.