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

onegirl Group Title

lim x->1 (sqrt(x) - 1)/ (x - 1)

  • one year ago
  • one year ago

  • This Question is Closed
  1. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    hint : \((x-1)=(\sqrt x)^2-1^2 \) now use the difference of squares \(a^2-b^2=(a+b)(a-b)\)

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

    how do i do that?

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

    \((x-1)=(\sqrt x)^2-1^2=(\sqrt x-1)(\sqrt x+1)\) got this ? what gets cancelled ?

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

    okay the sqrt(x) - 1 gets cancelled

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

    yes, you can directly put x=1 now.

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

    okay so i substitute x = 1 into sqrt(x) - 1?

    • one year ago
  7. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    no....that got cancelled....what remains ?

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

    what remains is (x - 1)

    • one year ago
  9. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    but we wrote x-1 as \((x-1)=(\sqrt x)^2-1^2=(\sqrt x-1)(\sqrt x+1)\)

    • one year ago
  10. onegirl Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ok

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

    \(\dfrac{\sqrt x-1}{x-1}=\dfrac{\sqrt{x}-1}{(\sqrt x-1 )(\sqrt x +1)}=\dfrac{1}{\sqrt x+1}\) got this ? now put x=1

    • one year ago
  12. onegirl Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ok i get 1/2

    • one year ago
  13. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    i get the same, its correct.

    • one year ago
  14. onegirl Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ok i get 1/2

    • one year ago
  15. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    yes, 1/2 is correct.

    • one year 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.