6、极限 lim _(xarrow +infty )(sqrt ({x)^2+x}-sqrt ({x)^2+1})= () 。(较难)-|||-A、0 B、 dfrac (1)(2) C、 dfrac (5)(2) D、∞

2.求极限 lim _(xarrow +infty )arcsin dfrac (x)(sqrt {{x)^2+1}+x}

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

求下列极限:-|||-(6) lim _(xarrow +infty )(x)^dfrac (3{2)}(sqrt (x+2)-2sqrt (x+1)+sqrt

已知lim _(xarrow +infty )(x)^a[ sqrt ({x)^2+1}+sqrt ({x)^2-1}-2x] =bneq 0 x]=b≠0，则

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

求极限 lim _(xarrow +infty )((x+sqrt {1+{x)^2})}^dfrac (1{x)}

计算下列极限lim _(arrow infty )dfrac (x)(sqrt {{x)^2+1}+x}计算下列极限

求极限 lim _(xarrow +infty )dfrac (ln (x+sqrt {{x)^2+1})-ln (x+sqrt ({x)^2-1})}( l

11.求极限 lim _(xarrow +infty )(1-dfrac (1)({x)^2}) sqrt (x)

lim _(xarrow +infty )x(sqrt ({x)^2+1}-x)；；