Determine the interval of convergence for the power series ∑n=0∞xnn+1\sum_{n=0}^{\infty} \frac{x^n}{n+1}∑n=0∞n+1xn
∣x∣<1|x| < 1∣x∣<1, i.e., −1<x<1-1 < x < 1−1<x<1
∣x∣≤1|x| \leq 1∣x∣≤1, i.e., −1≤x≤1-1 \leq x \leq 1−1≤x≤1
−1≤x<1-1 \leq x < 1−1≤x<1
−1<x≤1-1 < x \leq 1−1<x≤1