taylor x^2,0

Lösung

taylor

x^{2}, 0

x^{2}

Schritte zur Lösung

Apply the Taylor Formula

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

Evaluate Derivatives

= 0 + \frac{0}{1 !} x + \frac{2}{2 !} x^{2} + \frac{0}{3 !} x^{3} + \frac{0}{4 !} x^{4} + \frac{0}{5 !} x^{5} + \frac{0}{6 !} x^{6} + \frac{0}{7 !} x^{7} + \frac{0}{8 !} x^{8} + \frac{0}{9 !} x^{9} + \frac{0}{10 !} x^{10}

Fasse zusammen

= x^{2}

d er i v a t i v e f (x) = \frac{( 1 - 4 x )}{1 + 4 x}

\int \frac{ln ( 2 x )}{x ln ( x )} d x

x \to 1 lim (\frac{1 - x ^{2}}{x - 1})

n = 1 \sum \infty \frac{1}{n ^{\frac{1}{3}}}

\int \frac{3}{5 x ^{2}} d x