009C Sample Final 2, Problem 4

(a) Find the radius of convergence for the power series

$\sum _{n=1}^{+\infty }(-1)^{n}{\frac {x^{n}}{n}}.$

(b) Find the interval of convergence of the above series.

ExpandFoundations:

Solution:

(a)

ExpandStep 1:

ExpandStep 2:

(b)

ExpandStep 1:

ExpandStep 2:

ExpandFinal Answer:
(a)
(b)

Return to Sample Exam