CB.Calc.LIM-8.D: Determine the radius of convergence and interval of convergence for a power series.

Determine the radius of convergence and interval of convergence for a power series.

Example Problems

\sum_{n=1}^{\infty} \frac{x^n}{n!}

What is the interval of convergence of the series?

\sum_{n=1}^{\infty} \frac{(x + 3)^n}{n}

What is the interval of convergence of the series?

\sum_{n=1}^{\infty} \frac{(x - 1)^n}{n^2}

What is the interval of convergence of the series?

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