What is the radius of convergence for the series ∑n=0∞(x+1)nn2+1\sum_{n=0}^{\infty} \frac{(x+1)^n}{n^2+1}∑n=0∞n2+1(x+1)n?
R=0R = 0R=0
R=1R = 1R=1
R=eR = eR=e
R=∞R = \inftyR=∞