A community for students.
Here's the question you clicked on:
 0 viewing
Amenah8
 one year ago
LIMITS: Click to see question
Amenah8
 one year ago
LIMITS: Click to see question

This Question is Closed

Amenah8
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow \pm \infty} (x^4+x^3)/(12x^3+128)\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1divide top and bottom by x^3

freckles
 one year ago
Best ResponseYou've already chosen the best response.1we are dividing top and bottom by x^3 because the degree of the bottom polynomial is 3

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow \infty} \frac{\frac{x^4}{x^3}+\frac{x^3}{x^3}}{\frac{12x^3}{x^3}+\frac{128}{x^3}}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1now figure out the limit for each of those minifractions

Amenah8
 one year ago
Best ResponseYou've already chosen the best response.0oh!i remember how to do this! one moment while i work it out, please?

Amenah8
 one year ago
Best ResponseYou've already chosen the best response.0\[(x+1)/(12+128/x^3)\]

Amenah8
 one year ago
Best ResponseYou've already chosen the best response.0and then replace x with 0, right?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1right now you must look at x approaches infinity and also x approaches negative infinity

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so you have infinity for x approaches infinity ok now you need to evaluate your second question which involves x going to infinity

freckles
 one year ago
Best ResponseYou've already chosen the best response.1right so you have: \[\lim_{x \rightarrow \infty}\frac{x+1}{12+\frac{128}{x^3}} =\frac{\infty}{12+0}=\infty \\ \lim_{x \rightarrow \infty} \frac{x+1}{12+\frac{128}{x^3}}=\frac{\infty}{12+0}=\infty\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1also I like to separate my numerators by doing ( ) and my denominators by doing ( ) like I would write what you said like (infty+1)/(12+0) it is more proper and correct :p

Amenah8
 one year ago
Best ResponseYou've already chosen the best response.0haha, okay! thank you so much!
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.