Question

(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

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Applying root test, nea nto divent f = lim (and to lim (18nt tsjon (5123 +35j3n 8n7+5) - lim lim (8 + 5,97 (5+3 f = im ho 15

Now option A is correct, root test is applied and series is divergent and value of p is given.

Now for second question, since root test can be applied no other test is not needed, as it clearly indicate the series diverges

Add a comment
Know the answer?
Add Answer to:
(4 pts) Consider the series an where iM n=1 20n (8n? + 5) an = 5n...
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
  • (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...

  • Consider the series image.png where

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

  • (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 \(\sum_{n=1} a_{n}\) 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...

  • 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...

  • (5 pts) Consider the series 8 W arctan(n) n6 n=1 (a) For all n > 1,...

    (5 pts) Consider the series 8 W arctan(n) n6 n=1 (a) For all n > 1, 0 < arctan(x) < x2 Give the best possible bound. And so 0 < an arctan(n) = <bn n/(2n^6) Since 0 < an <bn, which of the following test should we apply? A. The integral test B. The comparison test. C. The nth term test for divergence D. The ratio test E. The limit comparison test F. The p-series test G. The root test...

  • 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...

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
ADVERTISEMENT