A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

LIMIT SIN^2(X)/X(1+COS(X) AS X GOES TO 0

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

    \[\lim_{x\rightarrow 0}\frac{\sin^2x}{x(1+\cos x)}\] is it correct?

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

    YES

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

    zero

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

    is the answer fairly sure

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

    its not a indeterminate form , we can just sub in x=0

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

    Ok, answer is 0, but this is indeterminate form 0/0

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

    ahh yeh , im an idiot , didnt see the x factor on the bottom differnetiate top and bottom and try again

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

    YES I GOT 0/0 BUT MY TEACHER MARK MY PAPER STILL WRONG WITH MY STEPS I JUST SUBSTITUTE X FOR 0

  9. dumbcow
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[=\lim_{x \rightarrow 0}\frac{\sin x ^{2}}{x} * \lim_{x \rightarrow 0}\frac{1}{1+\cos x} = \lim_{x \rightarrow 0}2\sin x \cos x * \frac{1}{2} = 0\]

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

    so [ 2sinxcosx ] / [ x(-sin(x) ) + (1+cos(x)) ] 2sin(x)cos(x) / [ 1 +cos(x) -xsin(x) ]

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

    now when you sub x=0 , it isnt indeterminate , and we do get 0 as the final answer

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

    dumbcow, \[\lim_{x\rightarrow a}f(x)g(x)\neq\lim_{x\rightarrow a}f(x)\cdot\lim_{x\rightarrow a}g(x)\]

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

    ^doesnt it? I thought I remember reading somewhere that it does

  14. dumbcow
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    really? are you sure lim x^2 as x->2 is 4 limx * limx as x->2 is 2*2=4

  15. dumbcow
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no they can be separated, see below http://tutorial.math.lamar.edu/Classes/CalcI/LimitsProperties.aspx

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

    YES GUYS YOU CAN SEPARATE IM SURE OF THAT

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

    before you answer, shut the caps button off LOL!

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

    oh well ~

  19. 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.