What is the radius of convergence of sum_1^oo sin(x/n)? Calculus Power Series Determining the Radius and Interval of Convergence for a Power Series 1 Answer Cesareo R. Jul 4, 2016 Is convergent only for x = 0 Explanation: lim_{n->oo}sin(x/n) = x/n and sum_n x/n is divergent forall x ne 0 Answer link Related questions How do you find the radius of convergence of a power series? How do you find the radius of convergence of the binomial power series? What is the radius of convergence for a power series? What is interval of convergence for a Power Series? How do you find the interval of convergence for a power series? How do you find the radius of convergence of sum_(n=0)^oox^n ? What is the radius of convergence of the series sum_(n=0)^oo(x-4)^(2n)/3^n? How do you find the interval of convergence for a geometric series? What is the interval of convergence of the series sum_(n=0)^oo((-3)^n*x^n)/sqrt(n+1)? What is the radius of convergence of the series sum_(n=0)^oo(n*(x+2)^n)/3^(n+1)? See all questions in Determining the Radius and Interval of Convergence for a Power Series Impact of this question 1735 views around the world You can reuse this answer Creative Commons License