A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

use the limit comparison theorem to determine if the following integral diverges or converges: integral from 2 to infinite: (x^2 dx)/[(x-1)^2 * (x+3)]

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This is how I'm reading the integral given, the integral of {(x^2)/[(x-1)(x-1)(x+3)]} dx from 2 to a as a grows unbounded (or approaches infinity as many like to say). When x=2, (x^2)/[(x-1)(x-1)(x+3)] is 4/5, and this value is the initial point of the integral. This means this 4/5 is less than or equal to the integral over our given bounds (2+) since the derivative of the polynomial is positive over the same bounds of integration so the integral is constantly getting a little positive addition to it. The integral of 4/5 over the same bound clearly grows unbounded or diverges, and since the integral of 4/5 is smaller at every point within the bounds of integration than the given integral, then the given integral must diverge too.

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    mary beth and steve like to shop at a warehouse store .they get a 10% discount on everything they buy.what fractional part of the disscount do they recieve? a.1/20 b.1/10 c.1/510 d.1/520

  3. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.