Question

Consider the series image.png where

Consider the series image.png where 

image.png

 In this problem you must attempt to use the Ratio Test to decide whether the series converges Compute.

image.png

Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF it it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. 


Which of the following statements is true? 

The Ratio Test says that the series converges absolutely. 

The Ratio Test says that the series diverges. 

The Ratio Test says that the series converges conditionally. 

The Ratio Test is inconclusive, but the series converges absolutely by another test or tests. 

The Ratio Test is inconclusive, but the series diverges by another test or tests. 

The Ratio Test is inconclusive, but the series converges conditionally by another test or tests. 

the letter for your choice here:

2 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Consider the series image.png where
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Consider the series

    Consider the series \(\sum_{n=1} a_{n}\) whereIn 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, -INF 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...

  • Consider the series

    Consider the series \(\sum_{n=1} a_{n}\) whereIn 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, -INF 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...

  • Consider the series

     Consider the series \(\sum_{n=1} a_{n}\) whereIn 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, -INF 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...

  • Consider the series

    Consider the series \(\sum_{n=1} a_{n}\) whereIn 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, -INF 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...

  • (1 point) Consider the series 14" (n+1)102141 In this problem you must attempt to use the...

    (1 point) Consider the series 14" (n+1)102141 In this problem you must attempt to use the Ratio Test to decide whether the series converges. Compute L = lim d. 1 a Enter the numerical value of the limit Lif it converges, INF if it diverges to infinity, -INF if it diverges to negative infinity, or DIV if it diverges but not to Infinity or negative infinity Which of the following statements is true? A. The Ratio Test says that the...

  • Consider the series

    Consider the series \(\sum_{n=1} a_{n}\) where$$ a_{n}=\frac{(-1)^{n} n^{2}}{n^{2}+4 n+3} $$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, -INF 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...

  • Cansider the series

    Cansider the series \(\sum_{n=1}^{\infty} a_{n}\) where$$ a_{n}=\frac{\left(6 n^{2}+2\right)(-7)^{n}}{5^{n+1}} $$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, -INF 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...

  • (3 pts) Consider the series where n=1 (7n + 4)54 a = (7751 +15) In this...

    (3 pts) Consider the series where n=1 (7n + 4)54 a = (7751 +15) In this problem you must attempt to use the Root Test to decide whether the series converges. Compute p= lim Van Enter the numerical value of the limit pif 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. P= What is the conclusion of the root test? O...

  • (4 pts) Consider the series an where iM n=1 20n (8n? + 5) an = 5n...

    (4 pts) Consider the series an where iM n=1 20n (8n? + 5) an = 5n (5128 +35) In this problem you must attempt to use the Root Test to decide whether the series converges. n00 Compute p= lim van Enter the numerical value of the limit p 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. p= DIV What is...

  • Consider the series 2 Which of the following statements are true? (Select all that apply). Yanitiniz:...

    Consider the series 2 Which of the following statements are true? (Select all that apply). Yanitiniz: The series absolutely converges. (-1)" lim 8+ = 0 The series converges conditionally It is an alternating series. The series converges to some finite number The series conditionally and absolutely converges. tale) diverse diverges. It is not an alternating series. The ratio test is inconclusive.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT