A community for students.
Here's the question you clicked on:
 0 viewing
Donsies
 2 years ago
Prove using the formal definition of limits:
If lim{x>inf} f(x) = inf and c>0, then lim{x>inf) cf(x) = inf
Donsies
 2 years ago
Prove using the formal definition of limits: If lim{x>inf} f(x) = inf and c>0, then lim{x>inf) cf(x) = inf

This Question is Open

Mesa
 2 years ago
Best ResponseYou've already chosen the best response.1You 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: \[c*(\infty)=\infty\]
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.