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2.10 Горизонтальні асимптоти
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2. $h(x)=\frac{a x^{4}+b x^{3}+c x^{2}+d x+e}{f x^{4}+g x^{3}+h x^{2}}$ \(g(x)=\frac{f(x)}{h(x)}=\frac{\frac{3 x^{6}-72 x}{x^{6}+999}}{\frac{a x^{4}+b x^{3}+c x^{2}+d x+e}{f x^{4}+g x^{3}+h x^{2}}} ...2. $h(x)=\frac{a x^{4}+b x^{3}+c x^{2}+d x+e}{f x^{4}+g x^{3}+h x^{2}}$ $g(x)=\frac{f(x)}{h(x)}=\frac{\frac{3 x^{6}-72 x}{x^{6}+999}}{\frac{a x^{4}+b x^{3}+c x^{2}+d x+e}{f x^{4}+g x^{3}+h x^{2}}} \approx \frac{3}{\frac{a}{f}}=\frac{3 f}{a}$ 5. $k(x)=\frac{2 x^{5}-3 x}{5 x^{2}+3 x^{4}+2 x-7 x^{5}}$ 6. $f(x)=\frac{a x^{14}+b x^{23}+c x^{12}+d x+e}{f x^{24}+g x^{23}+h x^{21}}$