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

lornbeach Group Title

Find the limit of the function algebraically. lim(x -> 5) x^2-25/x-5

  • one month ago
  • one month ago

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

    So I think you mean (x^2-25)/(x-5) right? This expression does not exist at x=5 because when you plug in 5 you get something/0 Now when you have 0/0 that means the limit can exist Is there any algebra you can perform to force a function that is continuous at 5?

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

    Basically is there any factoring you can do?

    • one month ago
  3. lornbeach Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes that's it and simplify iit

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

    yep then plug in 5 to resulting function that is continuous at 5

    • one month ago
  5. myininaya Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    you can share your steps with me if you want

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

    would it be 10/0?

    • one month ago
  7. myininaya Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    not 10/0 nope show me what you did to get that

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

    (x+25)(x-25)/x-5

    • one month ago
  9. myininaya Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    that isn't how you factor x^2-25

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

    x^2-a^2=(x-a)(x+a) you have x^2-5^2=(x-5)(x+5)

    • one month ago
  11. lornbeach Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    OH (x+5)(x-5)

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

    right but what do yo notice about the top and bottom (As far as factors go)

    • one month ago
  13. myininaya Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    and you have (x+5)(x-5)/(x-5)

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

    You can cancel

    • one month ago
  15. lornbeach Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    (x+5)

    • one month ago
  16. myininaya Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    right you basically get rid of the discontinuity so you can plug in x=5

    • one month ago
  17. lornbeach Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    so 10

    • one month ago
  18. myininaya Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    right

    • one month ago
  19. lornbeach Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Thank you!!

    • one month ago
  20. myininaya Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    np

    • one month 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.