On page 85, a power series is given. Use the root test to prove its convergence or divergence and determine its radius of convergence. Instructions: Solve step-by-step. Apply the root test rigorously, and show all intermediate calculations. Avoid irrelevant details. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharing]

does #14 converge or not?

Find the interval of convergence for the series (5 min left)

PLEASE DO THIS TYPEWRITTEN. I WILL UPVOTE

Use four terms of the binomial series to estimate the cube root of 1.02. Show all steps, please.

We have to decide the given series is convergent or divergent. Please help with step by step

Please be clear in steps to solve this problem. Thank you so much for your help!

Find the radius of convergence.

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer using interval notation. If the interval of convergence is a finite set, enter your answer using set notation.) >(-1)" x6n + 5 6n + 5 n = 0

Find a power series representation for the function f(x) = 35. Be sure to state the interval of convergence. Hint: use the geometric series. State your answer, then briefly describe your solution process. Your description does not need to show every mathematical detail, just enough that your answer is justified. It is fine to give a general description in words. You may use the equation editor if you wish, but this is not required.