4.计算下列极限(10)lim _(xarrow infty )(1+dfrac (1)(x))(2-dfrac (1)({x)^2})

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

求下列极限lim _(xarrow infty )dfrac ({(1+dfrac {1)(x))}^(x^2)}({e)^x}求下列极限

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

1.求下列极限.-|||-(4) lim _(xarrow +infty )dfrac (ln (1+dfrac {1)(x))}(dfrac {pi )(2)

(7) lim _(xarrow infty )((1+dfrac {1)(x))}^dfrac (x{2)};

极限 lim _(xarrow +infty )dfrac (ln (1+dfrac {1)(x))}(arctan x)

计算下列极限:-|||-lim _(xarrow 1)(dfrac (2)({x)^2-1}-dfrac (1)(x-1)).

1.计算下列极限:-|||-(4) lim _(xarrow 1)(dfrac (2)({x)^2-1}-dfrac (1)(x-1)).

计算 lim _(xarrow infty )((1+dfrac {2)(x))}^3x

[题目] lim _(xarrow infty )((1+dfrac {2)(x))}^x= __