BbryHCJIHTb IIpe)IeJIbI: 1. lim _(xarrow infty )((3-x)(2x^2+5x-8))/(x^2)-3x+1 2. lim _(xarrow -1)(x^2+3x+2)/(x^2)-1 : 3. lim _(xarrow 4)(sqrt (1+2x)-3)/(sqrt (x)-2) 4. lim _(xarrow infty )((x+1)/(x-1))^2x 5. lim _(xarrow 0)(ln(1-5x))/(sin3x) 6 lim _(xarrow 2)(sin(x^2-4)arctg(x-2))/((e^(x-2)^(2)-I)ln(x+1))

1. $\lim _{x\rightarrow \infty }\frac {(3-x)(2x^{2}+5x-8)}{x^{2}-3x+1} = -2$<br />2. $\lim _{x\rightarrow -1}\frac {x^{2}+3x+2}{x^{2}-1} = -2$<br />3. $\lim _{x\rightarrow 4}\frac {\sqrt {1+2x}-3}{\sqrt {x}-2} = 2$<br />4. $\lim _{x\rightarrow \infty }(\frac {x+1}{x-1})^{2x} = e^{2}$<br />5. $\lim _{x\rightarrow 0}\frac {ln(1-5x)}{sin3x} = -\frac{5}{3}$<br />6. $\lim _{x\rightarrow 2}\frac {sin(x^{2}-4)arctg(x-2)}{(e^{(x-2)^{2}}-I)ln(x+1)} = 0$