Maclaurin series convergenceMust show all, detailed work. Please write clearly & be sure answers are correct.Be ready to find the radius of convergence of a Maclaurin series.- convert to a power series. Write & label the terms a_n and a_(n+1)-simplify the ration- show all work needed to simplify the ratio: an/a(n+1)-evaluate the limit of the ratio-Use ratio test theorem to state conclusion of radius.

Find the radius of convergence of the Maclaurin series for the function below. f(x) = tan Show and follow these steps: 2n | 1 1. Write function as a power series. Hint: tan (x) ->(-1)7. 2n + 1 n 1 2. Label and write terms an and an1 1 3. Write the ratio Jan+ 1 4. Simplify the ratio in 3. as much as possible. Show all work. 5. Take the limit of simplified ratio in 4. as n -> Oo 6. Use result in 5. and ratio test theorem to find radius of convergence