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


Prove using the formal definition of limits: If lim{x->inf} f(x) = -inf and c>0, then lim{x->inf) cf(x) = -inf

  • one year ago
  • one year ago

  • This Question is Open
  1. Mesa
    Best Response
    You've already chosen the best response.
    Medals 1

    You use here the theorem which states that limit of product of functions is product of limits of each function: \[\lim_{x \rightarrow \infty}[f(x)*g(x)]=[\lim_{x \rightarrow \infty}f(x)]*[\lim_{x \rightarrow \infty}g(x)]\] You have here that g(x)=c, which gives: \[\lim_{x \rightarrow \infty}c*f(x)=\lim_{x \rightarrow \infty}c*\lim_{x \rightarrow \infty}f(x)\] Limit of constant is same constant, and limit of function f(x) is given as -inf. You finaly get: \[c*(-\infty)=-\infty\]

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

    Ty! :)

    • 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...


  • 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.