10.15-bo'lim: Quvvat seriyalari va funktsiyalari

1-3-masalalar uchun berilgan funksiyani darajalar qatori sifatida yozing va yaqinlashish oralig'ini bering.

1. \( \displaystyle f\left( x \right) = \frac{6}{{1 + 7{x^4}}}\) Yechim
2. \( \displaystyle f\left( x \right) = \frac{{{x^3}}}{{3 - {x^2}}}\) Yechim
3. \( \displaystyle f\left( x \right) = \frac{{3{x^2}}}{{5 - 2\,\sqrt[3]{x}}}\) Yechim
4. Quyidagi funksiyaning hosilasi uchun darajalar qatorini ko‘rsating. \[g\left( x \right) = \frac{{5x}}{{1 - 3{x^5}}}\] Yechim
5. Quyidagi funksiyaning integrali uchun darajalar qatorini ko‘rsating. \[h\left( x \right) = \frac{{{x^4}}}{{9 + {x^2}}}\] Yechim