Root Test
Last updated
Last updated
"The root test is used in situations where a series term or part of it is raised to the power of the index variable. "
Notice: The root test isn't a good choice if a series contains factorial terms. If the root test isn't fairly easy to use, you probably shouldn't use it. But when it works, it often cuts to convergence or divergence quickly.
Apply the root test
:
Since L < 1
, so it converges.
Solve: