To test the series n5 - 7 for convergence one n4 +3 n=1 could use the Limit Comparison Test, comparing it to 1 the series where p = пр n=1
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- Use the ratio test to determine whether the serieS Conuergen+ cr divergent is (-1)^-1 2" n3 3n7k 11. Use the Root Test to determine whether the series converges or 2k +1 k-1 diverges.Suppose the power series Eq(x – a)* has an interval of convergence of (-3,7]. Find the center a and the radius of convergence R.
- Consider the series e -)" (x-2)? n (x-2)² 5h n 2 Pant 1. Find the Radius ot convergence foR the series Part 2. Find the intervalา Use the Ratio Test to determine the convergence or divergence of the series (-1)^(7) ⁹ Σ n=0 (7n+1)! Select one: a. converges b. divergesc)Test the series 2n =0 3n+1 for convergence or divergence.(write C or D) Answer:
- Identify whether the series Σ 2 convergent or divergent using the integral test 5n-1 n=1 and comparison test.Use the Divergence test to determine whether the series converges or diverges ln1/3n.Consider the power series (x-2) (x - 2)² 2 + (x - 2)³ 3 3. What is the radius of convergence? (x - 2)¹ 4 1. Write this series as a single sum of the form Σck. (x-2)^. k=1 +... 2. Use the Ratio Test to determine the interval of convergence of this power series.