3.求下列函数的极限.-|||-(1) lim _(xarrow infty )x((e)^dfrac (1{x)}-1);-|||-(2) lim _(xarrow +infty )x(dfrac (pi )(2)-arctan x);-|||-(3) lim _(xarrow 0)[ dfrac (1)(ln (x+1))-dfrac (1)(x)] ;-|||-(4) lim _(xarrow infty )x((a)^dfrac (1{x)}-1),(agt 0).

4.求下列极限:-|||-(1) lim _(xarrow infty )(e)^dfrac (1{x)} :-|||-x→∞-|||-(3) lim _(xa

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

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

根据函数极限的定义证明:(1)lim _(xarrow infty )dfrac (1+{x)^3}(2{x)^3}=dfrac (1)(2) __;(2)li

9.求下列函数的极限-|||-(1) lim _(xarrow -1)dfrac ({x)^3-1}(x-1);-|||-(3) lim _(xarrow in

9.求下列函数的极限-|||-(1) lim _(xarrow -1)dfrac ({x)^3-1}(x-1) =-|||-(3) lim _(xarrow i

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

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 )(({x)^dfrac (1{x)}-1)}^dfrac (1{ln x)}.求极限.