1.按定义证明下列极限:-|||-① lim _(xarrow infty )dfrac (6x+5)(x)=6;-|||-lim _(xarrow 2)((x)^2-6x+10)=2;-|||-(3) lim _(xarrow infty )dfrac ({x)^2-5}({x)^2-1}=1;-|||-(4) lim _(xarrow {2)^-}sqrt (4-{x)^2}=0;-|||-(5) lim _(xarrow x)cos x=cos (x)_(0)-|||-0-|||-2.根据定义2叙述 lim _(xarrow {x)_(0)}f(x)neq A.-|||-3.设 lim _(xarrow {x)_(0)}f(x)=A, 证明 lim _(harrow 0)f((x)_(0)+h)=A.-|||-4.证明:若 lim f(x)=A 则lim 1 (m

1.按定义证明下列极限:-|||-(1) lim _(xarrow -infty )dfrac (6x+5)(x)=6;-|||-(2) lim _(xarro

1.按定义证明下列极限:-|||-(1) lim _(xarrow +infty )dfrac (6x+5)(x)=6;-|||-(2) lim _(xarro

1.按定义证明下列极限:-|||-(1) lim _(xarrow -infty )dfrac (6x+5)(x)=6;-|||-(2) lim _(xarro

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

(5) lim _(xarrow infty )((dfrac {3+x)(6+x))}^dfrac (x-1{2)}

(5) lim _(xarrow infty )(dfrac (3+x)(6+x))-|||-、(x-1)/2

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

lim _(xarrow infty )((dfrac {3+x)(6+x))}^dfrac (x-1{2)}-|||-__

极限lim _(xarrow infty )(x)^2(2-xsin dfrac (1)(x)-cos dfrac (1)(x))=A.lim _(xarrow

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