Question

Ребят, хэлп. очень срочно

Answer 1

1) 
$lim_{n to infty} (1- frac{2}{3n})^{n+3}=$ [1^∞] $=e^{lim_{n to infty} (1- frac{2}{3n}-1)*(n+3)}=e^{lim_{n to infty} (frac{-2}{3}-frac{2}{n} )}=e^ frac{-2}{3}=frac{1}{^3sqrt{e^2}}$

3) $intlimits frac{(x^2+1)^2}{x^3} , dx = intlimits frac{(x^4+2x^2+1)}{x^3} , dx=intlimits frac{x^4(1+ frac{2x^2}{x^4} + frac{1}{x^4} )}{x^3} , dx=intlimits (x+2x+1) , dx=intlimits x , dx + 2intlimits ( frac{1}{x} ) , dx + intlimits , dx= frac{x^2}{2} + 2ln|x|+x+C$