home > q&a board > calculus > topic: series

Q BgQuestion:

Scholar
Karma Points: 200
Respect (95%):
posted by  Brasilguy04 on 11/20/2008 3:46:31 PM  |  status: Closed  

series

Course Textbook Chapter Problem
Calculus N/A N/A N/A
Question Details:
Consider the series \displaystyle \sum_{n=1}^{\infty} a_n where
a_n = \frac{ (5 n + 5) 6^{n} }{ 5^{n + 5} }
In this problem you must attempt to use the Ratio Test to decide whether the series converges.

Compute
L=\lim_{n\rightarrow\infty} \left| \frac{ a_{n+1} }{a_n} \right|
Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.
L =

Which of the following statements is true?
A. The Ratio Test says that the series converges absolutely.
B. The Ratio Test says that the series diverges.
C. The Ratio Test says that the series converges conditionally.
D. The Ratio Test is inconclusive, but the series converges absolutely by another test or tests.
E. The Ratio Test is inconclusive, but the series diverges by another test or tests.
F. The Ratio Test is inconclusive, but the series converges conditionally by another test or tests.
Enter the letter for your choice here:
Bonus Point Alert! Earn +4 additional karma points for helping this annual member.

AAnswers:

Answer Question
(Cramster SME)
posted by Routh on 11/20/2008 5:57:16 PM  |  status: Live
Asker's Rating: Lifesaver   
Brasilguy04's comment:
"thanks"
Response Details:
L= 6/5
 
And  B  is the Choice
 
END
Feel free to message me with your doubt before rating my answer.  :)
Answer Question
Ask New Question

Join Cramster's Community

Cramster.com brings together students, educators and subject enthusiasts in an online study community. With around-the-clock expert help and a community of over 100,000 knowledgeable members, you can find the help you need, whenever you need it. Join for free today » How Cramster is different from tutoring »

Need Help In

Useful Links