9.求下列函数的极限-|||-(1) lim _(xarrow -1)dfrac ({x)^3-1}(x-1) =-|||-(3) lim _(xarrow infty )dfrac ({x)^2-1}(3{x)^2-x-1} ;-|||-(5) lim _(xarrow 3)dfrac (sqrt {x+13)-2sqrt (x+1)}({x)^2-9} :-|||-(7) lim _(xarrow 1)(dfrac (1)(1-x)-dfrac (2)(1-{x)^2}) =-|||-(9) lim _(xarrow 1)(1-x)tan dfrac (pi )(2)x ;-|||-(11) lim _(xarrow 1)(x)^dfrac (2{1-x)} =-|||-(13) lim _(xarrow infty )((dfrac {x-1)(1+x))}^x-1 =-|||-(15) lim _(xarrow -1)dfrac (ln (2+x))(sqrt [3]{1+2x)+1} =-|||-(2.) lim _(xarrow 1)dfrac ({x)^2-1}(2{x)^2-x-1} =-|||-(4) lim _(xarrow 1)dfrac (2x-1)({x)^2-5x+4} :-|||-(6) lim _(xarrow +infty )dfrac (sqrt {{x)^2+1}-1}(x) =-|||-(8) lim _(xarrow 0)dfrac (1-cos x)(xsin x) =-|||-(10) lim _(xarrow 0)dfrac (tan x-sin x)({x)^3} =-|||-(12) lim _(xarrow 0)((1-3x))^dfrac (1{x)} ;-|||-(14) lim _(xarrow 0)dfrac (x+ln (1+x))(3x-ln (1+x)) :-|||-(16) lim _(xarrow infty )((dfrac {2x+3)(2x+1))}^x+1.