7.16 решите, срочно нужно!!!

Question

7.16 решите, срочно нужно!!!

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Answer 1

Lim(x⇒∞)(x⁴/(x²+2)-x²)=∞/∞;
lim(x⇒∞)[(x⁴-x⁴-2x²)/(x²+2)=lim(x⇒∞)(-2x²/(x²+2)=
=lim(x⇒∞)[x²·(-2)/x²(1+2/x²)=lim(x⇒∞)(-2/(1+2/x²)=-2/(1+0)=-2;