A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
What is the limit as x approaches infinity for f(x)=4x^2+8x/x^3+7x^2x9?
anonymous
 one year ago
What is the limit as x approaches infinity for f(x)=4x^2+8x/x^3+7x^2x9?

This Question is Closed

math&ing001
 one year ago
Best ResponseYou've already chosen the best response.2When calculating limits near infinity we only take in consideration the highest degree term: \[\lim_{x \rightarrow \infty} \frac{ 4x ^{2}+8x }{ x ^{3}+7x ^{2}x9 }=\lim_{x \rightarrow \infty} \frac{ 4x ^{2}}{ x ^{3}}\]

math&ing001
 one year ago
Best ResponseYou've already chosen the best response.2@Camila1315 can you do it now ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes the limit would be infinity right?

math&ing001
 one year ago
Best ResponseYou've already chosen the best response.2Nope, how did you infinity ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0When I graphed it I saw the when x kept approaching infinity, the y value was coming from infinity.

math&ing001
 one year ago
Best ResponseYou've already chosen the best response.2No need to graph it, just go from here \(\lim_{x \rightarrow \infty} \frac{ 4x ^{2} }{ x ^{3} }\) and simplify.

math&ing001
 one year ago
Best ResponseYou've already chosen the best response.2\[\lim_{x \rightarrow \infty} \frac{ 4x ^{2} }{ x ^{3} }=\lim_{x \rightarrow \infty} \frac{ 4 }{ x }\] Do you know the limit of 1/x near infinity ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Im so bad with limits I thought the limit there would be infinity

math&ing001
 one year ago
Best ResponseYou've already chosen the best response.2O.K here's a graph that shows you how the 1/x function acts near infinity : dw:1433595410014:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh so you have to look at x when it is approaching infinity?

math&ing001
 one year ago
Best ResponseYou've already chosen the best response.2Yeah, that's how you get the limit from the graph. Can you figure out the limit now ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah so the limit would be 0
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.