3n + 1 Σ 4n n = 0 O diverges by the Geometric Series Test o converges by the p-Series Test O diverges by the p-Series Test 8.

Q: Determine whether the following series is convergent or divergent. Show all work and be sure to…

A:

Q: Σ(-1) -1. n=1 1 4η + 1

A:

Q: Use a power series to test the series £ Un=nlogx for convergence,  where £ means summation

A: We are given the series,                           . Now, we need to check the convergence of the…

Q: 3k3 +1 k6 – 4k3 + 2 k=1

A:

Q: 8 n=1 (−1)n-¹ 3 + 5n

A:

Q: Please list and briefly explain convergence tests for taylor/maclaurin series

A:

Q: Explain why it is difficult to use the divergent series∑1/k as a comparison series to test ∑1/(k +…

A: Explain why it is difficult to use the divergent series ∑1/k as a comparison series to test ∑1/(k +…

Q: • Σ(-1) -1. n=1 1 4η + 1

A: We have applied lebnitz test to find convergence of series

Q: 14) Test the secies for convergane divergence or 2. (-1)"

A:

Q: 6. (6 pts) Isnin n a p-series? If so, use the p-series test to determine whether this series is…

A:

Q: Find a power Series expansion with center c=5 for a fix)={n(2x-3) od find the iterval of…

A: Given the function fx=ln2x-3.  We will use the Taylor series to calculate the series.…

Q: Finel the vadius of convergence of the Maclaurin Series fla)e aretan (3x²)

A:

Q: 1 I n² sin 1 - n (e) Σ

A:

Q: To test this series for convergence 2" + 5 7" You could use the Limit Comparison Test, comparing it…

A: We have to test the series for convergence.