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

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

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

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
to 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
 one year ago

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

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
ok 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 \[\Large \lim_{x\to 2} f(x) = 2\]
 one year ago

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

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

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

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

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

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

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
oh wait nvm
 one year ago

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

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
you 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
 one year ago

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

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.0
you're welcome
 one year ago
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