taylor sqrt(3-x),0

Lösung

taylor

3 - x, 0

3 - \frac{1}{2 3} x - \frac{1}{24 3} x^{2} - \frac{1}{144 3} x^{3} - \frac{5}{3456 3} x^{4} + \dots

Schritte zur Lösung

Apply the Taylor Formula

= 3 + \frac{\frac{d}{d x} ( 3 - x ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 3 - x ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 3 - x ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 3 + \frac{- \frac{1}{2 3}}{1 !} x + \frac{- \frac{1}{12 3}}{2 !} x^{2} + \frac{- \frac{1}{24 3}}{3 !} x^{3} + \frac{- \frac{5}{144 3}}{4 !} x^{4} + \dots

Fasse zusammen

= 3 - \frac{1}{2 3} x - \frac{1}{24 3} x^{2} - \frac{1}{144 3} x^{3} - \frac{5}{3456 3} x^{4} + \dots

(2 x)^{^{'}}

t an g e n t f (x) = x^{2} + 3 x, at x = 0

\frac{\partial}{\partial x} (x ln (t))

5 y^{^{'}} - 15 x^{2} = 0

n \to 10 lim ([1 + (\frac{1}{n})]^{n})