A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

find the lim as x approaches 0 of x squared divided by sin squared x

  • This Question is Open
  1. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    this is a famous limit, just up side down and squared \[\lim\limits_{x \to 0}\frac{x^2}{\sin^2 x} \] do you have any ideas? you cannot use L'Hopital for this one. in fact i don't think you can use calculus at all for this one. sticking my neck out there but makes sense to me! @freckles @Empty @ganeshie8

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

    \[\frac{x^2}{\sin^2(x)}=\frac{x}{\sin(x)} \cdot \frac{x}{\sin(x)} \\ \text{ you should be able to use } \lim_{x \rightarrow 0} \frac{x}{\sin(x)}=1 \]

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

    isnt it lim x approaches o sin x over x =1

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

    because my professor wants us to use that theorem but i can't figure out how to do it

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

    the one I mentioned is also true \[\frac{x}{\sin(x)}=\frac{1}{\frac{\sin(x)}{x}} \rightarrow \frac{1}{1} =1 \text{ as } x \rightarrow 0\]

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

    oh i see

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

    for this equation that you just gave me, in order to get the 1 over the sinx divided by x did you divide by 1?

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

    you could divide top and bottom by x but I just know my reciprocals :p example \[x=\frac{1}{\frac{1}{x}} \text{ or } 5=\frac{1}{\frac{1}{5}}\]

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

    duhhh omg i understand now

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

    thanks @freckles and @IrishBoy123

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

    np

  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.