Matematika/Makloreno eilutės: Skirtumas tarp puslapio versijų

:<math>\ln(1+0.1)= \ln 1,1 = \sum^{\infin}_{n=1} (-1)^{n+1}\frac{0,1^n}{n}=</math>

<math>=0.1-\frac{0.1^2}{2}+\frac{0.1^3}{3}-\frac{0.1^4}{4}+\frac{0.1^5}{5}-\frac{0.1^6}{6}+\frac{0.1^7}{7}-\frac{0.1^8}{8}+\frac{0.1^9}{9}=0.0953101798.</math>

 

:<math>\ln x=2\cdot ((\frac{x-1}{x+1})+\frac{1}{3}\cdot(\frac{x-1}{x+1})^3+\frac{1}{5}\cdot(\frac{x-1}{x+1})^5+\cdots ), \; kai \; x>0.</math>