10.16-bo'lim: Teylor seriyasi

1 va 2-muammolar uchun berilgan funksiya uchun Teylor seriyasini aniqlash uchun eslatmalarda keltirilgan Teylor seriyalaridan birini ishlating.

1. \(f\left( x \right) = \cos \left( {4x} \right)\) \(x = 0\) haqida Yechim
2. \(f\left( x \right) = {x^6}{{\bf{e}}^{2{x^{\,3}}}}\) \(x = 0\) haqida Yechim

3-6 muammo uchun quyidagi funktsiyalarning har biri uchun Teylor seriyasini toping.

1. \(f\left( x \right) = {{\bf{e}}^{ - 6x}}\) \(x = - 4\) haqida Yechim
2. \(f\left( x \right) = \ln \left( {3 + 4x} \right)\) \(x = 0\) haqida Yechim
3. \(\displaystyle f\left( x \right) = \frac{7}{{{x^4}}}\) \(x = - 3\) haqida Yechim
4. \(f\left( x \right) = 7{x^2} - 6x + 1\) \(x = 2\) haqida Yechim