Question

3. (6 marks total; 3 marks each) a) Use the Integral Test to show that the series iM8 nts converges. b) Use the formula for e

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

salution. 3 n3 n=1 Here a). (: This function is clearly positive f(x) and if we make a larger the denominator will get larger

Add a comment
Know the answer?
Add Answer to:
3. (6 marks total; 3 marks each) a) Use the Integral Test to show that the...
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
  • 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...

  • To test the series e 2n for convergence, you can use the Integral Test. (This is...

    To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...

  • (3) Suppose we want to use the integral test to determine if the series k ek...

    (3) Suppose we want to use the integral test to determine if the series k ek converges or diverges, where ak = f (). What conditions must f (x) satisfy in order to justify the use of the integral test? (4) Consider the series relitz (a) Use the integral test to show the above series converges. (b) Use the integral test to fill in the blanks: ----- Et=11th ----

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

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

  • Page < 2 > of 3 ZOOM 3. Use the Integral Test or a Comparison Test...

    Page < 2 > of 3 ZOOM 3. Use the Integral Test or a Comparison Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test or Comparison Test are satisfied. 4" (sin 4"(sin(n) + 1) 22-1

  • Use the integral test to determine whether the series converges. Show all work to justify your...

    Use the integral test to determine whether the series converges. Show all work to justify your answer. vands n=1 Select one: O A. diverges O B. converges

  • please show all steps Use the Integral Test to determine the convergence or divergence of the...

    please show all steps Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. 2 Σ k(Ink)? k= 3 Select the correct choice below and, if necessary, fill in the answer box to complete the choice. O A. 2. The series converges. The value of the integralſ dx is x(In x)2 (Type an exact answer.) B. 2 The series diverges. The value of the integralſ -dx is x(...

  • 9.3 Integral Test & Seric Use the Integral Test to determine the convergence or divergence of...

    9.3 Integral Test & Seric Use the Integral Test to determine the convergence or divergence of the series. 2 3n + 6 n = 1 Part 1 of 5 Recall the Integral Test. Iff is positive positive, continuous, and decreasing decreasing for x 2 1 and an = f(n), then an and f(x) dx either both converge or both diverge. n=1 Part 2 of 5 Let f(x) 2 3x + 6 Note that f(x) is positive, continuous, and decreasing for...

  • 5. 5. Use the integral test and the root test to determine whether the series converges....

    5. 5. Use the integral test and the root test to determine whether the series converges. 1 2 al Ext(n) (+) (b) È C +3)* (14 pts) 6. Determine whether the series is absolutoly conrormont condition 11

  • Prob. 6 (a) (10 points) Use the Integral Test to determine whether the series is convergent...

    Prob. 6 (a) (10 points) Use the Integral Test to determine whether the series is convergent or divergent. n(Inn) n2 (b) (10 points) Determine if the series converges or diverges. Mention which test you used. M8 n

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