Diverge or converge
Not what you're looking for?
PLEASE SHOW ALL WORK, STEP-BY-STEP, WITH ALL CORRECT NOTATION.
My notation is lousy for some reason the attachment won't come through, so I cut and pasted it below.
Determine whether the following Diverge (D), Converge Conditionally (CC), or Converge Absolutely (AC). Give the rationale for each response. Must show all work and brief summary on why it does or doesn't (D), (CC), or (AC).
∞ ______4_______
∑ (n+1)(n+2)
n=1
Use the limit comparison test to show that the following series converges.
∞ 3n^2 + 5n
∑ ____________
2^n(n^2 + 1)
n=1
Purchase this Solution
Solution Summary
This shows how to determine the divergence or convergence of series.
Solution Preview
Please see the attachment.
1.
First, I show that converges.
For any natural number and , we have
Thus, for any , we can find , then ...
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.