find-the-radius-and-interval-of-convergence-for-the-power-series-displaystyle-su-402cfb4e

Question

Find the radius and interval of convergence for the power series:∑n=1∞(4y−1)nn \displaystyle \sum_{n=1}^{\infty} \frac{(4y - 1)^n}{n}

Accepted Answer

Radius of Convergence: R=14R=\frac{1}{4}Interval of Convergence: [0,12)[0,\frac{1}{2})

Answer

Radius of Convergence: R=12R=\frac12Interval of Convergence: (−∞,∞)\left(\right.-\infty,\infty)

Answer

Radius of Convergence: R=14R=\frac{1}{4}Interval of Convergence: (0,12)\left(0,\frac{1}{2}\right)

Find the radius and interval of convergence for the power series:∑n=1∞(4y−1)nn \(\displaystyle\) \(\sum\)_{n=1}^{\(\infty\)} \(\frac{(4y - 1)^n}{n}\)