A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Loser66

  • one year ago

\(lim_{n\rightarrow \infty} |\dfrac{1}{a^{2n+1}|}=??\) Please, help

  • This Question is Closed
  1. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    gotta be zero right?

  2. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    denominator goes to \(\infty\) lickety split

  3. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This is what I got, but need the third party's opinion. |dw:1443275074358:dw|

  4. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh i guess i didn't take in to account the possibility that \(a=1\) did i?

  5. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't feel good for the first one and the last one. They should be combined to make the logic firmly.

  6. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if \(a=1\) then it is identically 1

  7. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if \(0<a<1\) it is \(\infty\) since the denominator goes to \(0\)

  8. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and like you said if \(a>1\) it would be \(0\) because the denominator gets really big really fast

  9. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    looks good to me!

  10. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1443275584269:dw|

  11. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Another question: \(lim_{n\rightarrow \infty} a^n z^n\) , what is difference if a is in Z and a is in C ?

  12. 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.