A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

dainel40
 one year ago
Best ResponseYou've already chosen the best response.1@jim_thompson5910 they said u could help

dainel40
 one year ago
Best ResponseYou've already chosen the best response.1I think the answer does not Exist

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0using the limit laws, we can say \[\Large \lim_{x\to 2}x^3 f(x) = (\lim_{x\to 2}x^3) * (\lim_{x\to 2}f(x))\] \[\Large \lim_{x\to 2}x^3 f(x) = 2^3 * f(2)\] \[\Large \lim_{x\to 2}x^3 f(x) = 8 * f(2)\] \[\Large \lim_{x\to 2}x^3 f(x) = ???\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0to find f(2) you would either use a function or the graph since you don't have the function, you'll have to use the graph

dainel40
 one year ago
Best ResponseYou've already chosen the best response.1but the graph has a hole and a solution thats where im confused

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0ok as x gets closer and closer to 2, the graph is approaching the point (2,2) sure there is a hole here, but if you start on either side of x = 2 and approach it, you'll reach this hole so that's why \[\Large \lim_{x\to 2} f(x) = 2\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0\[\Large \lim_{x\to 2}x^3 f(x) = (\lim_{x\to 2}x^3) * (\lim_{x\to 2}f(x))\] \[\Large \lim_{x\to 2}x^3 f(x) = 2^3 * 2\] \[\Large \lim_{x\to 2}x^3 f(x) = 8 * 2\] \[\Large \lim_{x\to 2}x^3 f(x) = 16\]

dainel40
 one year ago
Best ResponseYou've already chosen the best response.1oh... I see.. Thanks a lot! I have another question.. Could I ask you?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0sure go for it

dainel40
 one year ago
Best ResponseYou've already chosen the best response.1If f and g are continuous functions with f(1) = 5 and the following limit, find g(1).

dainel40
 one year ago
Best ResponseYou've already chosen the best response.1im getting 8 as a result not sure

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0this is a completely different problem right (with different functions f and g)?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0that's correct, g(1) = 8

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0you separate the limit up plug in x = 1 then replace f(1) with 5 and g(1) with y afterwards you solve for y to get y = 8

dainel40
 one year ago
Best ResponseYou've already chosen the best response.1yay! Thank You so much for your help!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0you're welcome
Ask your own question
Ask a QuestionFind 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.