PG entrance exam IIT JAM 2025 Mock Test Mathematical Science Analysis Sequences & Series (Convergence)
The radius of convergence of the power series:
\(\sum_{n=1}^{\infty} \frac{n^5}{(3^n)(2^n)} x^{7n} \) is:
1
6
2
\( \frac{1}{\sqrt[7]{6}} \)
3
\(\frac{1}{{6}} \)
4
\( \sqrt[7]{6} \)