Question

помогите
$lim_{x to infty} ( frac{ x^{4} }{ x^{2} -2}- frac{ x^{4} }{ x^{2} +2} )$

Answer 1

$lim_{x to infty} ( frac{ x^{4} }{ x^{2} -2}- frac{ x^{4} }{ x^{2} +2} )=lim_{x to infty} x^4 frac{ x^2+2-(x^2-2) }{ (x^{2} -2)(x^2+2)}= \= lim_{x to infty} frac{ 4x^4 }{ x^{4} -4}= lim_{x to infty} frac{ 4x^4 }{ x^{4} }=4$