The power series has radius of convergence

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The power series ∑n=1∞(−1)n−1(x−3) n−1\displaystyle \sum_{n=1}^{\infty} (-1)^{n-1}(x-3)^{\,n-1} has radius of convergence 11. Determine the interval of convergence of its antiderivative obtained by integrating the series term by term.

Related theory

Browse the problem library