Convergence of Series

Tags: #math #convergence #series

Equation

$$S_{n}=u_{1}+u_{2}+...+u_{n} \\ \text{Converge AS } n \rightarrow \infty \text{, If} \lim_{n \rightarrow \infty} |\frac{u_{n+1}}{u_{n}}| < 1$$

Latex Code

                                 S_{n}=u_{1}+u_{2}+...+u_{n} \\ \text{Converge AS  } n \rightarrow \infty \text{, If} \lim_{n \rightarrow \infty} |\frac{u_{n+1}}{u_{n}}| < 1

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Introduction


Explanation

  • The series will converge as , if holds.

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