e) Lim((2+x)² -3²) /((x+3)² -4²) = Lim(2+x -3)(2+x +3) /(x+3 -4)((x+3+4) =
x→1 .........................................x→1 ..........................................
Lim(x -1)(x +5) /(x -1)((x+7) =Lim(x +5) / (x+7) = (1+5)/(1+7) =3/4.
x→1 .....................................x→1 .
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з) Lim ((1+x)³-1-3x)/(6x² +x⁴) =Lim (1+3x +3x²+x³-1 -3x)/x²(6+x²)=
x→0 ......................................x→0............................................
Lim x²(3+x)/x²(6+x²) =Lim (3+x)/(6+x²) =(3+0)/(6+0²) =0,5.
x→0 ..........................x→0
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и) Lim(x-2)²(x+1)/(x³ -8)(x² -4) = Lim(x-2)²(x+1)/(x -2)(x²+2x+4)(x -2)(x+2) =
x→2........................................x→2....................................................
Lim (x+1)/(x²+2x+4)(x +2) = (2+1)/(2² +2*2 +4)(2+2) =1/16.
x→2