Question

Question # 4. (5 marks) (a) State precisely our theorem on the convergence of telescoping series. (6) Evaluate the series, 6
0 0
Add a comment Improve this question Transcribed image text
Answer #1

lim Sn = I lim 3 nyos an+3 +0 hoo 2.2+ + 6 + 2 21 + 6. 40² +8n43 + = I 35 (c) let let us take bn=(4) . An= bn-bnya. -(1) a, b

Add a comment
Know the answer?
Add Answer to:
Question # 4. (5 marks) (a) State precisely our theorem on the convergence of telescoping series....
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
  • Question # 4. (5 marks) (a) State precisely our theorem on the convergence of telescoping series....

    Question # 4. (5 marks) (a) State precisely our theorem on the convergence of telescoping series. (6) Evaluate the series, 2 2+ 6 35 2 21 + 6 4n2 + en + 3 +... 5 (c) Consider the statement: Suppose we have a sequence, {an} =1, and we can find another sequence, {Dm} 1 so that an = bn – Bn+2. If an converges then lim bn exists. n=1 Is this statement true? Either prove it (one may wish to...

  • (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...

  • 6. We want to use the Integral Test to show that the positive series a converges....

    6. We want to use the Integral Test to show that the positive series a converges. All of the following need to be done except one. Which is the one we don't need to do? (a) Find a function f(x) defined on [1,00) such that f(x) > 0, f(x) is decreasing, and f(n) = a, for all n. (b) Show that ſ f(z) dr converges. (e) Show that lim Ss6 f(x) dx exists. (d) Show that lim sexists. 7. Suppose...

  • Problem 5. (1 point) Consider the series = 4+(-1)^n). 63 - 3n Which of the following...

    Problem 5. (1 point) Consider the series = 4+(-1)^n). 63 - 3n Which of the following statements accurately describes the series? A. The series diverges by the Divergence Test. B. The series converges by the Limit Comparison Test with the series 613 C. The series converges by the Alternating Series Test. D. The series diverges by the Integral Test. E. The series converges by the Integral Test. Problem 6. (1 point) In order to determine the convergence or divergence of...

  • please do question 4 and 5 and state if the statement is true or false. please...

    please do question 4 and 5 and state if the statement is true or false. please and thank you 1.1 BASIC LOGIC which net "There exits EN such that for every E nd > 1 & Why did we eaten ", bet not > Oor ">" Why didn't we change the and to an "or"? Note that the symbol wands for greater than or equal to and so the nation of i n - lisbot greater than and mot equal...

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