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

abannavong Group Title

can someone help my find the limit if x->0 sinx/ cubed root of x

  • 2 years ago
  • 2 years ago

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

    multiply and divide by x , to get the function in the form of sin x/ x

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

    can u draw it out so i can see what ur talking about

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

    \(\huge\frac{sin x}{x}\:\frac{x}{\sqrt[3]{x}}\)

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

    oh ok

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

    and then from there which method would u use

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

    u know the formula : \[\lim_{x \rightarrow 0}\: sinx / x = 1\] ? use that for first fraction.

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

    oh ok! omg now it makes sense thank you @hartnn

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

    welcome :) what did u get the final answer as ?

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

    hang on lolz

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

    is it 0?

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

    yup, its 0 good work :)

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

    yay!!!

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

    thank you!!

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

    i need help again actually with number 84 now

    • 2 years ago
    1 Attachment
  15. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ok, if f(x) = root x what will be f(x+h) ?? u know?

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

    im confused on tht part

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

    ok, to get f(x+h) just replace x by (x+h) in f(x) so f(x+h) will be \(\sqrt{x+h}\) ok?

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

    ok

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

    and then what?

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

    i m using h instead of delta x just for convenience here. so now u put that in {f(x+h)-f(x) }/ h to get \(\frac{\sqrt{x+h}-\sqrt{h}}{h}\) got this ?

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

    yeah i got tht part

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

    now mutiply and divide by \(\sqrt{x+h}+\sqrt{h}\) and use (a+b)(a-b) = a^2 - b^2 and tell me what u get in numerator ?

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

    oh so ur multiplying it by its conjugate right ?

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

    yup, so that i get only h in numerator and that i can cancel it with h in denominator ok?

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

    oh ok

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

    i made a typo ..... it should be \(-\sqrt{x} \) and not \(-\sqrt{h} \) in the numerator

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

    wait a minute now im confused a bit

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

    because itsf(x+h) - f(x) which is \(\sqrt{x+h} \) \(-\sqrt{x} \)

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

    oh ok

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

    so now now mutiply and divide by \(\sqrt{x+h}+\sqrt{x}\) and use (a+b)(a-b) = a^2 - b^2 and tell me what u get in numerator ?

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

    would it still be h in the numerator i think..

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

    yup, because (x+h)- x = x+h-x = h this h cancels out with h in denominator and u have only 1 in numerator, right ? and what u have in denominator now?

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

    do you have \[\sqrt{x+h} + \sqrt{x}\]

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

    right?

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

    idk lolz

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

    yes, u are right, be confident :) now just put h =0 because lim h-> 0 and tell me what u get in denominator after putting h=0

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

    \[\sqrt{x+0} +\sqrt{x}\]

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

    is it?

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

    yup, thats your denominator = \(2\sqrt{x}\) and then your final answer would be \(\huge\frac{1}{2\sqrt{x}}\)

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

    hang on im confused how do u get \[\frac{ 1 }{ 2\sqrt{x} }\]

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

    \(\sqrt{x+0} +\sqrt{x}=\sqrt{x} +\sqrt{x}=2\sqrt{x}\) and there was 1 in the numerator, previously, right ?

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

    oh ok

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

    thanks!

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

    welcome :)

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

    u r a very helpful math teacher!

    • 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.