Power Series Interval of Convergence

power series term

n

c

n

x

-n

15

c

n

x

n!

0.05(1+n)

n

x

n

1

c

+n

n

(-c)

1+2n

x

1+2n

c

0.1

highest power

16

interval of convergence

This Demonstration illustrates the interval of convergence for power series. Every third power series, beginning with the one with four terms, is shown in the graph. Hover the mouse over a graph to see the highest power of

x

that appears in the corresponding power series.