4.求下列极限:-|||-(1) lim _(xarrow infty )(e)^dfrac (1{x)} :-|||-x→∞-|||-(3) lim _(xarrow infty )((1+dfrac {1)(x))}^dfrac (x{2)} ;-|||-(5) lim _(xarrow infty )((dfrac {3+x)(6+x))}^dfrac (x-1{2)} :-|||-(7) lim _(xarrow e)dfrac (ln x-1)(x-e)-|||-(2) lim _(xarrow 0)ln dfrac (sin x)(x) =-|||-(4) lim _(xarrow 0)((1+3{tan )^2x)}^(cos ^2x) ;-|||-(6) lim _(xarrow 0)dfrac (sqrt {1+tan x)-sqrt (1+sin x)}(xsqrt {1+{sin )^2x}-x} =-|||-(8) lim _(xarrow 0)dfrac ({e)^3x-(e)^2x-(e)^x+1}(sqrt [3]{(1-x)(1+x))-1}

3.求下列函数的极限.-|||-(1) lim _(xarrow infty )x((e)^dfrac (1{x)}-1);-|||-(2) lim _(xar

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

求下列函数的极限：（1）lim _(xarrow +infty )dfrac ({(2x-1))^10((7x+2))^20}(5{x)^30}（2）lim _

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

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

求极限lim _(xarrow infty )dfrac (1+2{e)^x}(1-3{e)^2x}-|||-__-|||-lim _(xarrow {0)^+

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

3.求下列极限:-|||-(1) lim _(xarrow 2)dfrac ({x)^2-3x-4}({x)^2-4} =-|||-(3) lim _(xarr

3.求下列极限:-|||-(1) lim _(xarrow 2)dfrac ({x)^2-3x-4}({x)^2-4} :-|||-(3) lim _(xarr

求极限：lim _(xarrow infty )((sin dfrac {1)(x)+cos dfrac (1)(x))}^x-|||-__ __求极限：