Determine the radius of convergence of the power series:
Test for convergence at the boundary points if is finite.
Let . Then,
Thus, the radius of convergence is , and the series converges for
such that
.
Determine the radius of convergence of the power series:
Test for convergence at the boundary points if is finite.
Let . Then,
Thus, the radius of convergence is , and the series converges for
such that
.
It diverges in the boundary points in comparison to 1/n