(3)lim _(xarrow 1)dfrac (ln (2-x)arctan x)(sin ({x)^2-1)}

计算 lim _(xarrow 0)dfrac (1)({x)^2}ln dfrac (sin x)(x) .

计算下列极限：(1) lim _(xarrow 0)(x)^2sin dfrac (1)(x);-|||-(2) lim _(xarrow infty )dfr

求极限 lim _(xarrow 0)dfrac (ln (1+{x)^2)-ln (1+(sin )^2x)}(x{sin )^3x}

计算下列极限:-|||-(1) lim _(xarrow 0)(x)^2sin dfrac (1)(x);-|||-(2)lim arctan x

求极限lim _(xarrow 0)((dfrac {sin x)(x))}^dfrac (1{ln (1+{x)^2)}}求极限

求lim _(xarrow infty )dfrac (ln (x+sqrt {{x)^2+1)}-ln (x+sqrt ({x)^2-1})}({({e)^d

lim _(xarrow +infty )dfrac ({int )_(1)^(x^2)arctan dfrac (t)(2)tdt}({x)^3ln (1+d

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

【题目]-|||-lim _(xarrow infty )x sin [ 1+dfrac {3)(x))] -sin [ ln (1+dfrac (1)(x))

lim _(xarrow 0)dfrac (sin x-xcos x)({x)^2ln (1+2x)}= ()_________________________