Find the radius of convergence and interval of convergence

Question

Show all of your work and reasoning. Remember to check the endpoints!

1. Find the radius of convergence and interval of convergence for

_n=1Σ^∞xⁿ/√n

2. Find the radius of convergence and interval of convergence for

_n=1Σ^∞(x - 2)ⁿ / (n² + 1).

3. Find the radius of convergence and interval of convergence for

_n=1Σ^∞xⁿ/ 1·3·5·...·(2n - 1).