state your assumptions, state what test or tests you are using, and show your work! For each series that is a strictly positive series, determine whether it converges or diverges. For each series that is not strictly positive, determine whether it converges absolutely, converges conditionally, or diverges. Please explicitly explain what your doing

Q: What is the sum of a series? That is, what is meant by > An = S? n=1

A: In the given series If n=1, the corresponding term is a1 If n=2, the corresponding term is a2 . . .…

Q: 2. Determine whether the series is convergent or divergent. If it is convergent, find its sum.

A:

Q: 75k+1 (c) Σ cos(1)2k k=1 Geometric Series Test p-series Test Limit Comparison Test Divergence Test…

A: ∑k=1∞ π5k+1cos(1)2k  =  ∑k=1∞ 1cos(1)2π5+1/kk        -Hence, p-series test is possible=…

Q: For this problem, type your answers directly into the provided text box. You may use the equation…

A: I have explained everything with in the solution. Please go through that.

Q: Find the error for the sum of the following series:

A: Consider the given information: The series is given by, S=∑n=1∞-1nn! To find the error in series.…

Q: For each series, determine whether it converges absolutely, converges conditionally, or diverges.…

A:

Q: Create your own example of a convergent series for which you use the basic comparison test. Make…

A: To Do: Create an example of a convergent series and use the basic comparison test. And give a proper…

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: Solution is given below :

Q: can you please answer both questions. Decide whether those two series will converge. Thank you

A: Given series

Q: Determine whether the series converges. If it does, find the sum: SUMMATION from n = 0 to infinity…

A:

Q: e write each step. ASAP pls.

A: Here we have ;  ∑n=1∞(-1)nn(n3+1)2n

Q: For each series, determine whether it converges absolutely, converges conditionally, or diverges.…

A: