Use the Direct Comparison Test to determine the convergence or divergence of the series. Š sin (n) n7 n = 1 sin?(n) converges O diverges

Q: Σ(51) k

A:

Q: Find all values of p for which the following series converges n vn+1 – Vn³ -n? +1 2nº +1 n=1

A: Explanation of the solution is given below....

Q: Σ+. Find the function represented by the power series ". Determine its interval of convergence.

A:

Q: Decide whether each series converges absolutely, converges conditionally, or diverges.

A:

Q: Determine convergence or divergence of the series. n=1 (2n 4)5/4

A: I have given an answer in step 2.

Q: Comparison ust

A:

Q: 2 1.5 1 0.5 o -0.5 -1 -1.5 -2 0 2 3 4 t (a) Find the Laplace Transform, F(s). (b) Solve the…

A: Here given we have to find the laplace of heavy side function and then solve the IVP.

Q: Test the series for convergence or divergence. (-1)*-1 5. 2 00 3 + 5n n=1 8

A:

Q: 05* Let p,q> 0. Find the relation of p and q so that the following series is convergent. 1 n²(Inn)…

A:

Q: n E(-1) n n=1

A:

Q: n=1

A:

Q: Q.4 - Determine whether the series converges, find its sum. converges or diverges. If it n=1

A: To determine whether the given series converges or diverges .  If it converges then to find the sum.…