6 Determine the interval of convergence for the power series that can be used to represent the function f(x) = 15a8 – 4' centered at æ = 0. Write your answer in interval notation. Provide your answer below: Interval of convergence: (OO)

Q: Define Find the values of x where the series converges and show that we get a continuous function on…

A: The given series is g(x)=∑n=0∞x2n1+x2n. To Find: The values of x for which the series is convergent.…

Q: Find a power series for the function, centered at c. f(x)= 2/(5-x).  c=-4  determine the interval…

A:

Q: Find the radius of convergence, R, of the series. 2(-1)" (x - 3)" 2n + 1 R = Find the interval, I,…

A: If the interval of the convergence is (a,b) then radius of convergence will be (b-a)/2According to…

Q: 6. Express the power series: >(-3)"(x)"-1 n=0 As a function. Then find its radius and interval of…

A: We can calculate radius of convergence by ratio test and then find interval of convergence

Q: For each series, determine whether it converges absolutely. converges conditionally, or diverges.…

A: Answer given below.