Question

Find the radius of convergence and interval of convergence for the given power series (note you must also check the endpoints). (Use inf for too and -inf for --oo. If the radius of convergence is infinity, then notice that the infinite endpoints are not included in the interval.). Radius of convergence: For the interval of convergence (1) the left endpoint is = left and included (enter yes or no): (2) the right endpoint is z= right end included (enter yes or no): Using interval notation give the interval of convergence Help Sheet: Entering answer with interval notation

Answer 1

Please see the solution and if you have any doubt please comment

Thanks

Solution k xk Kol @ Radius el convergenne aefh the term of Relim an neol anal no (41)3 Pro Com3 144) LU -

Injeval of convergence (= lim nyoo an ant sht xht いの noo in an OB zbog 5] x) for convergene hal 5181 at x = 6 Convergent p=371

at x=-115 an (1) alternative series not includey •1) left point & Rigel port & 15 yes, included 26 (-6. 3 Ans