11.8 Infinite Sequences & Series
Question #2 (Medium): Radius and Interval of Convergence for Power Series
To get the radius of convergence, first put the series expression into the ratio test and get the outcome.
If the outcome involves the variable x, then work around so that it is less than 1 for the power series to
converge. If the outcome of the ratio test does not contain the variable x, then the values that x takes on
have no effect on the outcome of the series. If the ratio test outcome is <1, then the interval for
convergence is ( )
Find the radius of convergence and interval of convergence of the series.
∑ ( ) ( )
In order to find the radius, first put into the