# Does this Converge ?

• February 11th 2010, 04:42 AM
coobe
Does this Converge ?
i have the series:

$f(x) = x - \frac{x^3}{3} + \frac{x^5}{5} -\frac{x^7}{7} +\frac{x^9}{9} ...$

now i have to determine the general form:

$\sum \frac{x^{2n-x}}{2n-1} *(-1^{n+2})$ from n= 1 to infinity

by the test from Leibniz this should be divergent, since its not decreasing and the limit isnt zero right ?