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hawkfalcon Group TitleBest ResponseYou've already chosen the best response.1
\[f(x) = \left[\begin{matrix}x^21 & x<1 \\ 4x & x>=1\end{matrix}\right]\]
 2 years ago

hawkfalcon Group TitleBest ResponseYou've already chosen the best response.1
I can do the lim, but how do i do it on that:O it lin x>1
 2 years ago

hawkfalcon Group TitleBest ResponseYou've already chosen the best response.1
\[\lim_{x \rightarrow 1}\]
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.1
dw:1346015959313:dw Your graph will look something like this
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.1
What is the limit for the function x^2  1 as it approaches 1?
 2 years ago

hawkfalcon Group TitleBest ResponseYou've already chosen the best response.1
Erm. inf. right?
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.1
Hmm, not quite. You want to approach x = 1.
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.1
Follow the graph of x^2 1 as it approaches x =1. What is the yvalue?
 2 years ago

hawkfalcon Group TitleBest ResponseYou've already chosen the best response.1
I think:3
 2 years ago

hawkfalcon Group TitleBest ResponseYou've already chosen the best response.1
Sorry *.* i'm not very good a limits:(
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.1
Yes :) then follow the graph of 4x as it approaches x=1. You start from the right hand side and move back till you reach x=1.
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.1
What would you say the limit was for that equation?
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.1
Ok, are the two limits for both equations the same?
 2 years ago

hawkfalcon Group TitleBest ResponseYou've already chosen the best response.1
Nope. Oh:3. Dur dur. You compare the 2 equations:3
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.1
What is your final answer for the problem?
 2 years ago

hawkfalcon Group TitleBest ResponseYou've already chosen the best response.1
@Denebel one last Q. It also says to find x>+ and . In this cast, thats DNE too. right?
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.1
Nope, as x>+ means when x approaches a number (in this case, 1) from the right hand side. x> means when x approaches (1) from the left hand side.
 2 years ago

hawkfalcon Group TitleBest ResponseYou've already chosen the best response.1
But those are not the same for either left or right.
 2 years ago

Denebel Group TitleBest ResponseYou've already chosen the best response.1
You only need to make sure they are the same when they don't give you a +/ Since the next part of the problem asks you to state the limit when it comes from +, then when it comes from  you say what you told me before. So when x> 1+ is when it approaches x=1 from the right side. You only look at the function 4x in this case. x> 1 is when it approaches x=1 from the left side, so look at the function x^2  1
 2 years ago

hawkfalcon Group TitleBest ResponseYou've already chosen the best response.1
Oh so you only look at each problem separately then :O
 2 years ago

hawkfalcon Group TitleBest ResponseYou've already chosen the best response.1
so lim x>1 = 0 and + = 3 and x> = DNE
 2 years ago

hawkfalcon Group TitleBest ResponseYou've already chosen the best response.1
<3 Thank you so much!
 2 years ago
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