Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kabulis Group Title

determine if existent the limit: lim -->0 sinx-x/x^3

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. etemplin Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    can you put parenthesis to make the problem a little more clear?

    • 2 years ago
  2. Eda2012 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    is it \[\lim_{x \rightarrow 0} \frac{ sinx-x }{ x^{3} }\]

    • 2 years ago
  3. kabulis Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes that is the exact question.. @Eda2012

    • 2 years ago
  4. Dido525 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Can you use :'hopital's rule?

    • 2 years ago
  5. Dido525 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    L'hopital's rule*

    • 2 years ago
  6. kabulis Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, we can use Hopital rule!

    • 2 years ago
  7. etemplin Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    that makes it so much easier @Dido525 thanks for thinking of that

    • 2 years ago
  8. Dido525 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay then! Take the derivative of the top and bottom terms :) . But before that check if the limit is 0/0 or infinity/ infinity.

    • 2 years ago
  9. Dido525 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Haha. I always ask ^_^ .

    • 2 years ago
  10. Dido525 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yeah the limit is 0/0 if you directly sub in.

    • 2 years ago
  11. kabulis Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I need to show step by step to the professor :( lol... can anybody do that for me.. sorry guys

    • 2 years ago
  12. Dido525 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1352266897769:dw|

    • 2 years ago
  13. kabulis Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks @Dido525

    • 2 years ago
  14. Dido525 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Welcome!

    • 2 years ago
  15. Eda2012 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[1^{st} \] \[\frac{ dy }{ dx }= \lim_{x \rightarrow 0}\frac{ cosx-1 }{ 3x ^{2} }\] \[2^{nd}\] \[\frac{ dy }{ dx } = \lim_{x \rightarrow 0}\frac{ -sinx }{ 6x }\] \[3^{rd}\] \[\frac{ dy }{ dx }=\lim_{x \rightarrow 0}\frac{ -cosx }{ 6 }\] \[=-\frac{ 1 }{ 6 }\]

    • 2 years ago
  16. Dido525 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yeah. You often have to use L'hopital's rule multiple times.

    • 2 years ago
  17. kabulis Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thnx all... what will be the solution if we use the rule L'hopital? since that is the required

    • 2 years ago
  18. Eda2012 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    the L'hopital's rule ...u must not get \[\frac{ \infty }{ \infty } or \frac{ 0 }{ 0 }\] when u plug in the lim of x....because the equation will become undefined for every value of x...that's why u have to use the rule many times until u get the actual value that can be defined....

    • 2 years ago
  19. mahmit2012 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1352268277086:dw|

    • 2 years ago
  20. mahmit2012 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1352268373043:dw|

    • 2 years ago
  21. Eda2012 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @mahmit2012 ...r u using the divergent test...???

    • 2 years ago
    • Attachments:

See more questions >>>

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.