A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

What value must be chosen for a to make tis function continuous at -1? 2x^3+x^2+7x+8/x+1 when x<-1 and by -x^2+2x+a when -1< or = x

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

    lim of the function when x comes to -1 from the left side must be equal to the lim of the function when x comes to -1 from the right side. Make that equality and you'll get value for a...be careful at that first function, you'll get 0/0 if you plug in x=-1immediately, so, to avoid that, use a little bit of algebra knowledge and you'll get value for lim

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

    can you give me a step by step way to solve it please?

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

    ok wait a minute

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

    you can write down the first function like this:\[(x+1)(2x^2-x+8)/(x+1)=2x^2-x+8\] now if you plug in x=-1 you'll get: \[2*1+1+8=11\] that's the limit as x approaches -1 from the left side...now if you plug in x=-1 into the other function you'll get -3+a....so you must say 11=-3+a and a=14

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

    perfect thank you!

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

    you're welcome :D

  7. 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.