- #1
DottZakapa
- 239
- 17
- Homework Statement
- solving a complex series applying the root test
- Relevant Equations
- series with complex numbers
in order to solve a series, the root test is applied and I have this limit
## \lim_{n \rightarrow +\infty} \sqrt[n] {\left| {\frac {i^{\frac { n} {3}}} { \frac {2n} {3} +1}} \right| } ##
I don't understand why at the second step the numerator becomes 1, cannot recall why it becomes 1, that is:
## \lim_{n \rightarrow +\infty} \sqrt[n] { {\frac {1} { \frac {2n} {3} +1}} } ##
## \lim_{n \rightarrow +\infty} \sqrt[n] {\left| {\frac {i^{\frac { n} {3}}} { \frac {2n} {3} +1}} \right| } ##
I don't understand why at the second step the numerator becomes 1, cannot recall why it becomes 1, that is:
## \lim_{n \rightarrow +\infty} \sqrt[n] { {\frac {1} { \frac {2n} {3} +1}} } ##
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