Convergence is an issue here!

Calculus Level 4

Find the radius of convergence \(R\) for the series \( \displaystyle \sum_{n=1}^\infty \left(\dfrac32\right)^n \dfrac n{(n+1)^2} x^n \).

Submit your answer as \( \lfloor 1000R \rfloor \). \[\]

Bonus: What happens to the series when \(|x| = R \) and when \(x\in \mathbb R\)?

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

×

Problem Loading...

Note Loading...

Set Loading...